Fractions and Equivalent Fractions

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How can I turn the yellow shaded area into an opaque shaded 1 to demonstrate the idea of an equivalent fraction?



documentclassarticle
usepackagetikz,amsmath,xcolor

begindocument
[ begintikzpicture
node at (0,0) $dfraca cdot cb cdot c=colorblueunderbracecolorblackdfracab cdot colorboxyellow$dfracc
c$colorblack=dfracab$};
draw[->,blue] (.2,-.5)--(.2,-.7)--(1.2,-.7)--(1.2,-.3);
node at (.2,-.7) [below right] scriptsize $colorbluetextSince dfracab cdot 1 =dfracab$;
endtikzpicture ]

enddocument


enter image description here



To look like this :



enter image description here



And eventually being able to look like this:



enter image description here










share|improve this question



























    up vote
    3
    down vote

    favorite












    How can I turn the yellow shaded area into an opaque shaded 1 to demonstrate the idea of an equivalent fraction?



    documentclassarticle
    usepackagetikz,amsmath,xcolor

    begindocument
    [ begintikzpicture
    node at (0,0) $dfraca cdot cb cdot c=colorblueunderbracecolorblackdfracab cdot colorboxyellow$dfracc
    c$colorblack=dfracab$};
    draw[->,blue] (.2,-.5)--(.2,-.7)--(1.2,-.7)--(1.2,-.3);
    node at (.2,-.7) [below right] scriptsize $colorbluetextSince dfracab cdot 1 =dfracab$;
    endtikzpicture ]

    enddocument


    enter image description here



    To look like this :



    enter image description here



    And eventually being able to look like this:



    enter image description here










    share|improve this question

























      up vote
      3
      down vote

      favorite









      up vote
      3
      down vote

      favorite











      How can I turn the yellow shaded area into an opaque shaded 1 to demonstrate the idea of an equivalent fraction?



      documentclassarticle
      usepackagetikz,amsmath,xcolor

      begindocument
      [ begintikzpicture
      node at (0,0) $dfraca cdot cb cdot c=colorblueunderbracecolorblackdfracab cdot colorboxyellow$dfracc
      c$colorblack=dfracab$};
      draw[->,blue] (.2,-.5)--(.2,-.7)--(1.2,-.7)--(1.2,-.3);
      node at (.2,-.7) [below right] scriptsize $colorbluetextSince dfracab cdot 1 =dfracab$;
      endtikzpicture ]

      enddocument


      enter image description here



      To look like this :



      enter image description here



      And eventually being able to look like this:



      enter image description here










      share|improve this question















      How can I turn the yellow shaded area into an opaque shaded 1 to demonstrate the idea of an equivalent fraction?



      documentclassarticle
      usepackagetikz,amsmath,xcolor

      begindocument
      [ begintikzpicture
      node at (0,0) $dfraca cdot cb cdot c=colorblueunderbracecolorblackdfracab cdot colorboxyellow$dfracc
      c$colorblack=dfracab$};
      draw[->,blue] (.2,-.5)--(.2,-.7)--(1.2,-.7)--(1.2,-.3);
      node at (.2,-.7) [below right] scriptsize $colorbluetextSince dfracab cdot 1 =dfracab$;
      endtikzpicture ]

      enddocument


      enter image description here



      To look like this :



      enter image description here



      And eventually being able to look like this:



      enter image description here







      tikz-pgf backgrounds






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 32 mins ago

























      asked 3 hours ago









      MathScholar

      1195




      1195




















          2 Answers
          2






          active

          oldest

          votes

















          up vote
          2
          down vote



          accepted










          With stackengine.



          documentclassarticle
          usepackagetikz,amsmath,xcolor,stackengine

          begindocument
          [ begintikzpicture
          node at (0,0) $dfraca cdot cb cdot c=colorblue%
          underbracecolorblackdfracab cdot
          stackengine0ptmakebox[0pt]raisebox-10ptscalebox10[8]%
          colorblue!20sffamilytiny 1$dfraccc$OcFFL%
          colorblack=dfracab$;
          draw[->,blue] (.2,-.5)--(.2,-.7)--(1.2,-.7)--(1.2,-.3);
          node at (.2,-.7) [below right] scriptsize $colorblue%
          textSince dfracab cdot 1 =dfracab$;
          endtikzpicture ]

          enddocument


          enter image description here






          share|improve this answer




















          • I guess if you could get rid of the feet on that 1 we have a perfect match. Thanks for your post I am using yours and Marmot's tikzmarknode. Never heard of stackengine
            – MathScholar
            1 hour ago











          • @MathScholar I tried to find an appropriate font for the "1", but was not immediately successful. Once the font is done, just put the fontfamily...selectfont into that argument of stackengine.
            – Steven B. Segletes
            1 hour ago










          • @MathScholar ctan.org/pkg/stackengine, ctan.org/pkg/tabstackengine
            – Steven B. Segletes
            1 hour ago










          • Another concern I have is the "fatness" of '1' for example if c is 100/100 then the 1 is not fat enough. Looks like it is not an easy question. Thank you Steven
            – MathScholar
            1 hour ago











          • @MathScholar The scalebox10[8]... gives a horizontal scale of 10 and a vertical scale of 8, so some games can be played. However, with enough digits, like 100/100, even that has its limits.
            – Steven B. Segletes
            55 mins ago

















          up vote
          1
          down vote













          I was confused by the various versions of the question. This made my answer look very complicated. However, this is because the answer (which I kept below) would clip the formula against the contour of 1 or whatever. Now that I see that the accepted answer does not have any of these features, I also provide a stripped down version, which has the big advantage (IMHO) that you do not have to adjust tons of dimensions.



          documentclassarticle
          usepackagetikz,amsmath,pifont
          usetikzlibrarybackgrounds
          newcommandPlaceCharOverSomething[3][xscale=11,yscale=5]%
          tikz[baseline=(X.base)]
          node[opacity=0] (tmpX)#3;
          beginscope[on background layer]
          clip (tmpX.south west) rectangle (tmpX.north east);
          node[overlay,outer sep=0pt,text=blue!,opacity=0.3,#1]
          bfseriessffamily #2;
          endscope
          node [inner sep=0pt](X)#3;%

          begindocument
          [
          dfraca cdot cb cdot c=
          textcolorblueunderbracetextcolorblackdfracab cdot
          PlaceCharOverSomethingding192$dfraccc$
          _tikz[remember picture]coordinate(b);
          =tikz[remember picture,baseline=(Y.base)]node (Y) $dfracab$;
          ]
          tikz[remember picture,overlay]draw[->,blue] ([yshift=1mm]b)--++(0,-0.2)
          -
          enddocument


          enter image description here



          Now comes a proposal based on this answer and that answer, which allows you to clip a formula against a shape. You may play with xscale, yscale etc. If you make the fraction a node, all tikz options are available. BTW, do not use color, use textcolor instead. And very soon there will be an upgrade of the tikzmark library available, which will simplify such things quite a bit.



          documentclassarticle
          usepackagetikz,amsmath,pifont
          usetikzlibraryfadings,backgrounds
          usepackagecontour
          newcommandPlaceCharOverSomething[3][xscale=11,yscale=5]%
          renewcommand*sfdefaultugq
          begintikzfadingfrompicture[name=temp]
          node[transparent!0,#1]
          contourblackbfseriessffamilytextcolorwhite#2;
          endtikzfadingfrompicture%
          tikz[baseline=(X.base)]
          node[opacity=0] (tmpX)#3;
          beginscope[on background layer]
          clip (tmpX.south west) rectangle (tmpX.north east);
          node[overlay,outer sep=0pt,text=blue!,opacity=0.3,#1]
          bfseriessffamily #2;
          endscope
          path[path fading=temp,fit fading=false,overlay,inner sep=0pt] node (X)#3;
          path (X.west) -- (X.east);
          path (X.north) -- (X.south);%

          begindocument
          [
          dfraca cdot cb cdot c=
          textcolorblueunderbracetextcolorblackdfracab cdot
          PlaceCharOverSomethingding192$dfraccc$
          _tikz[remember picture]coordinate(b);
          =tikz[remember picture,baseline=(Y.base)]node (Y) $dfracab$;
          ]
          tikz[remember picture,overlay]draw[->,blue] ([yshift=1mm]b)--++(0,-0.2)
          -
          enddocument


          Note that, because I am using TikZ, there are certain things that come for free.



          • I do not have manually adjust any dimensions. In particular, the fraction sits precisely where it would sit without this brimborium. However, if you want, you can make the node wider, e.g. by replacing path (X.west) -- (X.east); by path ([xshift=-1pt]X.west) -- (X.east[xshift=1pt]);. I consider the fact that I do not have to finetune the dimensions a big advantage.

          • Similarly, the arrow is fully fixed by the elements of the formula. All the dimensions of draw[->,blue] (.2,-.5)--(.2,-.7)--(1.2,-.7)--(1.2,-.3); get redundant, the only thing I specify in draw[->,blue] ([yshift=1mm]b)--++(0,-0.2)
            -|(Y);
            is an yshift which makes the arrow start a bit higher up (I actually merely added this to show you how to adjust these things if you really want to) and -0.2 which just says that the arrow needs to go down by 0.2cm before connecting to the fraction on the right. If you add something before the fraction on the right, the arrow will auto-adjust.

          • This path fading is extremely powerful since it allows you to cut things off that run out of the character. Although not needed here, this is something that may me used in future applications of these tricks.

          • Needless to say that, if you decide that the fraction c/c should also come with a certain opaqueness or color, this would only require a simple switch.





          share|improve this answer






















          • I have been using tikzmarknode more frequently now. How can I make that area( node ) you posted a 1 instead of an opaque yellow rectangle. What you posted is much cleaner for sure. This is the heart of my question.
            – MathScholar
            2 hours ago











          • @MathScholar I do not understand your question. If you want a 1 instead of an opaque rectangle with a fraction in it, replace tikz[baseline=(X.base)]node[fill=yellow,opacity=0.5](X)$dfraccc$; by 1. And yes, tikzmarknode will make this easier. Note, however, the opaque stuff does not really get referenced later here, so for this thingy you do not need a tikzmarknode, but for the other two thingies tikzmark and tikzmarknode will be more elegant.
            – marmot
            2 hours ago










          • How can I make that opaque area have the shape of a 1, the number one, while leaving the $dfraccc$ as is ? I am not sure how to post an image in the comment section.
            – MathScholar
            2 hours ago











          • I added an image of what I am trying to replicate. Thanks for your efforts
            – MathScholar
            2 hours ago











          • I noticed that the character 1 is pushing out the product while compiling your solution.
            – MathScholar
            1 hour ago











          Your Answer







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          2 Answers
          2






          active

          oldest

          votes








          2 Answers
          2






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes








          up vote
          2
          down vote



          accepted










          With stackengine.



          documentclassarticle
          usepackagetikz,amsmath,xcolor,stackengine

          begindocument
          [ begintikzpicture
          node at (0,0) $dfraca cdot cb cdot c=colorblue%
          underbracecolorblackdfracab cdot
          stackengine0ptmakebox[0pt]raisebox-10ptscalebox10[8]%
          colorblue!20sffamilytiny 1$dfraccc$OcFFL%
          colorblack=dfracab$;
          draw[->,blue] (.2,-.5)--(.2,-.7)--(1.2,-.7)--(1.2,-.3);
          node at (.2,-.7) [below right] scriptsize $colorblue%
          textSince dfracab cdot 1 =dfracab$;
          endtikzpicture ]

          enddocument


          enter image description here






          share|improve this answer




















          • I guess if you could get rid of the feet on that 1 we have a perfect match. Thanks for your post I am using yours and Marmot's tikzmarknode. Never heard of stackengine
            – MathScholar
            1 hour ago











          • @MathScholar I tried to find an appropriate font for the "1", but was not immediately successful. Once the font is done, just put the fontfamily...selectfont into that argument of stackengine.
            – Steven B. Segletes
            1 hour ago










          • @MathScholar ctan.org/pkg/stackengine, ctan.org/pkg/tabstackengine
            – Steven B. Segletes
            1 hour ago










          • Another concern I have is the "fatness" of '1' for example if c is 100/100 then the 1 is not fat enough. Looks like it is not an easy question. Thank you Steven
            – MathScholar
            1 hour ago











          • @MathScholar The scalebox10[8]... gives a horizontal scale of 10 and a vertical scale of 8, so some games can be played. However, with enough digits, like 100/100, even that has its limits.
            – Steven B. Segletes
            55 mins ago














          up vote
          2
          down vote



          accepted










          With stackengine.



          documentclassarticle
          usepackagetikz,amsmath,xcolor,stackengine

          begindocument
          [ begintikzpicture
          node at (0,0) $dfraca cdot cb cdot c=colorblue%
          underbracecolorblackdfracab cdot
          stackengine0ptmakebox[0pt]raisebox-10ptscalebox10[8]%
          colorblue!20sffamilytiny 1$dfraccc$OcFFL%
          colorblack=dfracab$;
          draw[->,blue] (.2,-.5)--(.2,-.7)--(1.2,-.7)--(1.2,-.3);
          node at (.2,-.7) [below right] scriptsize $colorblue%
          textSince dfracab cdot 1 =dfracab$;
          endtikzpicture ]

          enddocument


          enter image description here






          share|improve this answer




















          • I guess if you could get rid of the feet on that 1 we have a perfect match. Thanks for your post I am using yours and Marmot's tikzmarknode. Never heard of stackengine
            – MathScholar
            1 hour ago











          • @MathScholar I tried to find an appropriate font for the "1", but was not immediately successful. Once the font is done, just put the fontfamily...selectfont into that argument of stackengine.
            – Steven B. Segletes
            1 hour ago










          • @MathScholar ctan.org/pkg/stackengine, ctan.org/pkg/tabstackengine
            – Steven B. Segletes
            1 hour ago










          • Another concern I have is the "fatness" of '1' for example if c is 100/100 then the 1 is not fat enough. Looks like it is not an easy question. Thank you Steven
            – MathScholar
            1 hour ago











          • @MathScholar The scalebox10[8]... gives a horizontal scale of 10 and a vertical scale of 8, so some games can be played. However, with enough digits, like 100/100, even that has its limits.
            – Steven B. Segletes
            55 mins ago












          up vote
          2
          down vote



          accepted







          up vote
          2
          down vote



          accepted






          With stackengine.



          documentclassarticle
          usepackagetikz,amsmath,xcolor,stackengine

          begindocument
          [ begintikzpicture
          node at (0,0) $dfraca cdot cb cdot c=colorblue%
          underbracecolorblackdfracab cdot
          stackengine0ptmakebox[0pt]raisebox-10ptscalebox10[8]%
          colorblue!20sffamilytiny 1$dfraccc$OcFFL%
          colorblack=dfracab$;
          draw[->,blue] (.2,-.5)--(.2,-.7)--(1.2,-.7)--(1.2,-.3);
          node at (.2,-.7) [below right] scriptsize $colorblue%
          textSince dfracab cdot 1 =dfracab$;
          endtikzpicture ]

          enddocument


          enter image description here






          share|improve this answer












          With stackengine.



          documentclassarticle
          usepackagetikz,amsmath,xcolor,stackengine

          begindocument
          [ begintikzpicture
          node at (0,0) $dfraca cdot cb cdot c=colorblue%
          underbracecolorblackdfracab cdot
          stackengine0ptmakebox[0pt]raisebox-10ptscalebox10[8]%
          colorblue!20sffamilytiny 1$dfraccc$OcFFL%
          colorblack=dfracab$;
          draw[->,blue] (.2,-.5)--(.2,-.7)--(1.2,-.7)--(1.2,-.3);
          node at (.2,-.7) [below right] scriptsize $colorblue%
          textSince dfracab cdot 1 =dfracab$;
          endtikzpicture ]

          enddocument


          enter image description here







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered 2 hours ago









          Steven B. Segletes

          148k9186390




          148k9186390











          • I guess if you could get rid of the feet on that 1 we have a perfect match. Thanks for your post I am using yours and Marmot's tikzmarknode. Never heard of stackengine
            – MathScholar
            1 hour ago











          • @MathScholar I tried to find an appropriate font for the "1", but was not immediately successful. Once the font is done, just put the fontfamily...selectfont into that argument of stackengine.
            – Steven B. Segletes
            1 hour ago










          • @MathScholar ctan.org/pkg/stackengine, ctan.org/pkg/tabstackengine
            – Steven B. Segletes
            1 hour ago










          • Another concern I have is the "fatness" of '1' for example if c is 100/100 then the 1 is not fat enough. Looks like it is not an easy question. Thank you Steven
            – MathScholar
            1 hour ago











          • @MathScholar The scalebox10[8]... gives a horizontal scale of 10 and a vertical scale of 8, so some games can be played. However, with enough digits, like 100/100, even that has its limits.
            – Steven B. Segletes
            55 mins ago
















          • I guess if you could get rid of the feet on that 1 we have a perfect match. Thanks for your post I am using yours and Marmot's tikzmarknode. Never heard of stackengine
            – MathScholar
            1 hour ago











          • @MathScholar I tried to find an appropriate font for the "1", but was not immediately successful. Once the font is done, just put the fontfamily...selectfont into that argument of stackengine.
            – Steven B. Segletes
            1 hour ago










          • @MathScholar ctan.org/pkg/stackengine, ctan.org/pkg/tabstackengine
            – Steven B. Segletes
            1 hour ago










          • Another concern I have is the "fatness" of '1' for example if c is 100/100 then the 1 is not fat enough. Looks like it is not an easy question. Thank you Steven
            – MathScholar
            1 hour ago











          • @MathScholar The scalebox10[8]... gives a horizontal scale of 10 and a vertical scale of 8, so some games can be played. However, with enough digits, like 100/100, even that has its limits.
            – Steven B. Segletes
            55 mins ago















          I guess if you could get rid of the feet on that 1 we have a perfect match. Thanks for your post I am using yours and Marmot's tikzmarknode. Never heard of stackengine
          – MathScholar
          1 hour ago





          I guess if you could get rid of the feet on that 1 we have a perfect match. Thanks for your post I am using yours and Marmot's tikzmarknode. Never heard of stackengine
          – MathScholar
          1 hour ago













          @MathScholar I tried to find an appropriate font for the "1", but was not immediately successful. Once the font is done, just put the fontfamily...selectfont into that argument of stackengine.
          – Steven B. Segletes
          1 hour ago




          @MathScholar I tried to find an appropriate font for the "1", but was not immediately successful. Once the font is done, just put the fontfamily...selectfont into that argument of stackengine.
          – Steven B. Segletes
          1 hour ago












          @MathScholar ctan.org/pkg/stackengine, ctan.org/pkg/tabstackengine
          – Steven B. Segletes
          1 hour ago




          @MathScholar ctan.org/pkg/stackengine, ctan.org/pkg/tabstackengine
          – Steven B. Segletes
          1 hour ago












          Another concern I have is the "fatness" of '1' for example if c is 100/100 then the 1 is not fat enough. Looks like it is not an easy question. Thank you Steven
          – MathScholar
          1 hour ago





          Another concern I have is the "fatness" of '1' for example if c is 100/100 then the 1 is not fat enough. Looks like it is not an easy question. Thank you Steven
          – MathScholar
          1 hour ago













          @MathScholar The scalebox10[8]... gives a horizontal scale of 10 and a vertical scale of 8, so some games can be played. However, with enough digits, like 100/100, even that has its limits.
          – Steven B. Segletes
          55 mins ago




          @MathScholar The scalebox10[8]... gives a horizontal scale of 10 and a vertical scale of 8, so some games can be played. However, with enough digits, like 100/100, even that has its limits.
          – Steven B. Segletes
          55 mins ago










          up vote
          1
          down vote













          I was confused by the various versions of the question. This made my answer look very complicated. However, this is because the answer (which I kept below) would clip the formula against the contour of 1 or whatever. Now that I see that the accepted answer does not have any of these features, I also provide a stripped down version, which has the big advantage (IMHO) that you do not have to adjust tons of dimensions.



          documentclassarticle
          usepackagetikz,amsmath,pifont
          usetikzlibrarybackgrounds
          newcommandPlaceCharOverSomething[3][xscale=11,yscale=5]%
          tikz[baseline=(X.base)]
          node[opacity=0] (tmpX)#3;
          beginscope[on background layer]
          clip (tmpX.south west) rectangle (tmpX.north east);
          node[overlay,outer sep=0pt,text=blue!,opacity=0.3,#1]
          bfseriessffamily #2;
          endscope
          node [inner sep=0pt](X)#3;%

          begindocument
          [
          dfraca cdot cb cdot c=
          textcolorblueunderbracetextcolorblackdfracab cdot
          PlaceCharOverSomethingding192$dfraccc$
          _tikz[remember picture]coordinate(b);
          =tikz[remember picture,baseline=(Y.base)]node (Y) $dfracab$;
          ]
          tikz[remember picture,overlay]draw[->,blue] ([yshift=1mm]b)--++(0,-0.2)
          -
          enddocument


          enter image description here



          Now comes a proposal based on this answer and that answer, which allows you to clip a formula against a shape. You may play with xscale, yscale etc. If you make the fraction a node, all tikz options are available. BTW, do not use color, use textcolor instead. And very soon there will be an upgrade of the tikzmark library available, which will simplify such things quite a bit.



          documentclassarticle
          usepackagetikz,amsmath,pifont
          usetikzlibraryfadings,backgrounds
          usepackagecontour
          newcommandPlaceCharOverSomething[3][xscale=11,yscale=5]%
          renewcommand*sfdefaultugq
          begintikzfadingfrompicture[name=temp]
          node[transparent!0,#1]
          contourblackbfseriessffamilytextcolorwhite#2;
          endtikzfadingfrompicture%
          tikz[baseline=(X.base)]
          node[opacity=0] (tmpX)#3;
          beginscope[on background layer]
          clip (tmpX.south west) rectangle (tmpX.north east);
          node[overlay,outer sep=0pt,text=blue!,opacity=0.3,#1]
          bfseriessffamily #2;
          endscope
          path[path fading=temp,fit fading=false,overlay,inner sep=0pt] node (X)#3;
          path (X.west) -- (X.east);
          path (X.north) -- (X.south);%

          begindocument
          [
          dfraca cdot cb cdot c=
          textcolorblueunderbracetextcolorblackdfracab cdot
          PlaceCharOverSomethingding192$dfraccc$
          _tikz[remember picture]coordinate(b);
          =tikz[remember picture,baseline=(Y.base)]node (Y) $dfracab$;
          ]
          tikz[remember picture,overlay]draw[->,blue] ([yshift=1mm]b)--++(0,-0.2)
          -
          enddocument


          Note that, because I am using TikZ, there are certain things that come for free.



          • I do not have manually adjust any dimensions. In particular, the fraction sits precisely where it would sit without this brimborium. However, if you want, you can make the node wider, e.g. by replacing path (X.west) -- (X.east); by path ([xshift=-1pt]X.west) -- (X.east[xshift=1pt]);. I consider the fact that I do not have to finetune the dimensions a big advantage.

          • Similarly, the arrow is fully fixed by the elements of the formula. All the dimensions of draw[->,blue] (.2,-.5)--(.2,-.7)--(1.2,-.7)--(1.2,-.3); get redundant, the only thing I specify in draw[->,blue] ([yshift=1mm]b)--++(0,-0.2)
            -|(Y);
            is an yshift which makes the arrow start a bit higher up (I actually merely added this to show you how to adjust these things if you really want to) and -0.2 which just says that the arrow needs to go down by 0.2cm before connecting to the fraction on the right. If you add something before the fraction on the right, the arrow will auto-adjust.

          • This path fading is extremely powerful since it allows you to cut things off that run out of the character. Although not needed here, this is something that may me used in future applications of these tricks.

          • Needless to say that, if you decide that the fraction c/c should also come with a certain opaqueness or color, this would only require a simple switch.





          share|improve this answer






















          • I have been using tikzmarknode more frequently now. How can I make that area( node ) you posted a 1 instead of an opaque yellow rectangle. What you posted is much cleaner for sure. This is the heart of my question.
            – MathScholar
            2 hours ago











          • @MathScholar I do not understand your question. If you want a 1 instead of an opaque rectangle with a fraction in it, replace tikz[baseline=(X.base)]node[fill=yellow,opacity=0.5](X)$dfraccc$; by 1. And yes, tikzmarknode will make this easier. Note, however, the opaque stuff does not really get referenced later here, so for this thingy you do not need a tikzmarknode, but for the other two thingies tikzmark and tikzmarknode will be more elegant.
            – marmot
            2 hours ago










          • How can I make that opaque area have the shape of a 1, the number one, while leaving the $dfraccc$ as is ? I am not sure how to post an image in the comment section.
            – MathScholar
            2 hours ago











          • I added an image of what I am trying to replicate. Thanks for your efforts
            – MathScholar
            2 hours ago











          • I noticed that the character 1 is pushing out the product while compiling your solution.
            – MathScholar
            1 hour ago















          up vote
          1
          down vote













          I was confused by the various versions of the question. This made my answer look very complicated. However, this is because the answer (which I kept below) would clip the formula against the contour of 1 or whatever. Now that I see that the accepted answer does not have any of these features, I also provide a stripped down version, which has the big advantage (IMHO) that you do not have to adjust tons of dimensions.



          documentclassarticle
          usepackagetikz,amsmath,pifont
          usetikzlibrarybackgrounds
          newcommandPlaceCharOverSomething[3][xscale=11,yscale=5]%
          tikz[baseline=(X.base)]
          node[opacity=0] (tmpX)#3;
          beginscope[on background layer]
          clip (tmpX.south west) rectangle (tmpX.north east);
          node[overlay,outer sep=0pt,text=blue!,opacity=0.3,#1]
          bfseriessffamily #2;
          endscope
          node [inner sep=0pt](X)#3;%

          begindocument
          [
          dfraca cdot cb cdot c=
          textcolorblueunderbracetextcolorblackdfracab cdot
          PlaceCharOverSomethingding192$dfraccc$
          _tikz[remember picture]coordinate(b);
          =tikz[remember picture,baseline=(Y.base)]node (Y) $dfracab$;
          ]
          tikz[remember picture,overlay]draw[->,blue] ([yshift=1mm]b)--++(0,-0.2)
          -
          enddocument


          enter image description here



          Now comes a proposal based on this answer and that answer, which allows you to clip a formula against a shape. You may play with xscale, yscale etc. If you make the fraction a node, all tikz options are available. BTW, do not use color, use textcolor instead. And very soon there will be an upgrade of the tikzmark library available, which will simplify such things quite a bit.



          documentclassarticle
          usepackagetikz,amsmath,pifont
          usetikzlibraryfadings,backgrounds
          usepackagecontour
          newcommandPlaceCharOverSomething[3][xscale=11,yscale=5]%
          renewcommand*sfdefaultugq
          begintikzfadingfrompicture[name=temp]
          node[transparent!0,#1]
          contourblackbfseriessffamilytextcolorwhite#2;
          endtikzfadingfrompicture%
          tikz[baseline=(X.base)]
          node[opacity=0] (tmpX)#3;
          beginscope[on background layer]
          clip (tmpX.south west) rectangle (tmpX.north east);
          node[overlay,outer sep=0pt,text=blue!,opacity=0.3,#1]
          bfseriessffamily #2;
          endscope
          path[path fading=temp,fit fading=false,overlay,inner sep=0pt] node (X)#3;
          path (X.west) -- (X.east);
          path (X.north) -- (X.south);%

          begindocument
          [
          dfraca cdot cb cdot c=
          textcolorblueunderbracetextcolorblackdfracab cdot
          PlaceCharOverSomethingding192$dfraccc$
          _tikz[remember picture]coordinate(b);
          =tikz[remember picture,baseline=(Y.base)]node (Y) $dfracab$;
          ]
          tikz[remember picture,overlay]draw[->,blue] ([yshift=1mm]b)--++(0,-0.2)
          -
          enddocument


          Note that, because I am using TikZ, there are certain things that come for free.



          • I do not have manually adjust any dimensions. In particular, the fraction sits precisely where it would sit without this brimborium. However, if you want, you can make the node wider, e.g. by replacing path (X.west) -- (X.east); by path ([xshift=-1pt]X.west) -- (X.east[xshift=1pt]);. I consider the fact that I do not have to finetune the dimensions a big advantage.

          • Similarly, the arrow is fully fixed by the elements of the formula. All the dimensions of draw[->,blue] (.2,-.5)--(.2,-.7)--(1.2,-.7)--(1.2,-.3); get redundant, the only thing I specify in draw[->,blue] ([yshift=1mm]b)--++(0,-0.2)
            -|(Y);
            is an yshift which makes the arrow start a bit higher up (I actually merely added this to show you how to adjust these things if you really want to) and -0.2 which just says that the arrow needs to go down by 0.2cm before connecting to the fraction on the right. If you add something before the fraction on the right, the arrow will auto-adjust.

          • This path fading is extremely powerful since it allows you to cut things off that run out of the character. Although not needed here, this is something that may me used in future applications of these tricks.

          • Needless to say that, if you decide that the fraction c/c should also come with a certain opaqueness or color, this would only require a simple switch.





          share|improve this answer






















          • I have been using tikzmarknode more frequently now. How can I make that area( node ) you posted a 1 instead of an opaque yellow rectangle. What you posted is much cleaner for sure. This is the heart of my question.
            – MathScholar
            2 hours ago











          • @MathScholar I do not understand your question. If you want a 1 instead of an opaque rectangle with a fraction in it, replace tikz[baseline=(X.base)]node[fill=yellow,opacity=0.5](X)$dfraccc$; by 1. And yes, tikzmarknode will make this easier. Note, however, the opaque stuff does not really get referenced later here, so for this thingy you do not need a tikzmarknode, but for the other two thingies tikzmark and tikzmarknode will be more elegant.
            – marmot
            2 hours ago










          • How can I make that opaque area have the shape of a 1, the number one, while leaving the $dfraccc$ as is ? I am not sure how to post an image in the comment section.
            – MathScholar
            2 hours ago











          • I added an image of what I am trying to replicate. Thanks for your efforts
            – MathScholar
            2 hours ago











          • I noticed that the character 1 is pushing out the product while compiling your solution.
            – MathScholar
            1 hour ago













          up vote
          1
          down vote










          up vote
          1
          down vote









          I was confused by the various versions of the question. This made my answer look very complicated. However, this is because the answer (which I kept below) would clip the formula against the contour of 1 or whatever. Now that I see that the accepted answer does not have any of these features, I also provide a stripped down version, which has the big advantage (IMHO) that you do not have to adjust tons of dimensions.



          documentclassarticle
          usepackagetikz,amsmath,pifont
          usetikzlibrarybackgrounds
          newcommandPlaceCharOverSomething[3][xscale=11,yscale=5]%
          tikz[baseline=(X.base)]
          node[opacity=0] (tmpX)#3;
          beginscope[on background layer]
          clip (tmpX.south west) rectangle (tmpX.north east);
          node[overlay,outer sep=0pt,text=blue!,opacity=0.3,#1]
          bfseriessffamily #2;
          endscope
          node [inner sep=0pt](X)#3;%

          begindocument
          [
          dfraca cdot cb cdot c=
          textcolorblueunderbracetextcolorblackdfracab cdot
          PlaceCharOverSomethingding192$dfraccc$
          _tikz[remember picture]coordinate(b);
          =tikz[remember picture,baseline=(Y.base)]node (Y) $dfracab$;
          ]
          tikz[remember picture,overlay]draw[->,blue] ([yshift=1mm]b)--++(0,-0.2)
          -
          enddocument


          enter image description here



          Now comes a proposal based on this answer and that answer, which allows you to clip a formula against a shape. You may play with xscale, yscale etc. If you make the fraction a node, all tikz options are available. BTW, do not use color, use textcolor instead. And very soon there will be an upgrade of the tikzmark library available, which will simplify such things quite a bit.



          documentclassarticle
          usepackagetikz,amsmath,pifont
          usetikzlibraryfadings,backgrounds
          usepackagecontour
          newcommandPlaceCharOverSomething[3][xscale=11,yscale=5]%
          renewcommand*sfdefaultugq
          begintikzfadingfrompicture[name=temp]
          node[transparent!0,#1]
          contourblackbfseriessffamilytextcolorwhite#2;
          endtikzfadingfrompicture%
          tikz[baseline=(X.base)]
          node[opacity=0] (tmpX)#3;
          beginscope[on background layer]
          clip (tmpX.south west) rectangle (tmpX.north east);
          node[overlay,outer sep=0pt,text=blue!,opacity=0.3,#1]
          bfseriessffamily #2;
          endscope
          path[path fading=temp,fit fading=false,overlay,inner sep=0pt] node (X)#3;
          path (X.west) -- (X.east);
          path (X.north) -- (X.south);%

          begindocument
          [
          dfraca cdot cb cdot c=
          textcolorblueunderbracetextcolorblackdfracab cdot
          PlaceCharOverSomethingding192$dfraccc$
          _tikz[remember picture]coordinate(b);
          =tikz[remember picture,baseline=(Y.base)]node (Y) $dfracab$;
          ]
          tikz[remember picture,overlay]draw[->,blue] ([yshift=1mm]b)--++(0,-0.2)
          -
          enddocument


          Note that, because I am using TikZ, there are certain things that come for free.



          • I do not have manually adjust any dimensions. In particular, the fraction sits precisely where it would sit without this brimborium. However, if you want, you can make the node wider, e.g. by replacing path (X.west) -- (X.east); by path ([xshift=-1pt]X.west) -- (X.east[xshift=1pt]);. I consider the fact that I do not have to finetune the dimensions a big advantage.

          • Similarly, the arrow is fully fixed by the elements of the formula. All the dimensions of draw[->,blue] (.2,-.5)--(.2,-.7)--(1.2,-.7)--(1.2,-.3); get redundant, the only thing I specify in draw[->,blue] ([yshift=1mm]b)--++(0,-0.2)
            -|(Y);
            is an yshift which makes the arrow start a bit higher up (I actually merely added this to show you how to adjust these things if you really want to) and -0.2 which just says that the arrow needs to go down by 0.2cm before connecting to the fraction on the right. If you add something before the fraction on the right, the arrow will auto-adjust.

          • This path fading is extremely powerful since it allows you to cut things off that run out of the character. Although not needed here, this is something that may me used in future applications of these tricks.

          • Needless to say that, if you decide that the fraction c/c should also come with a certain opaqueness or color, this would only require a simple switch.





          share|improve this answer














          I was confused by the various versions of the question. This made my answer look very complicated. However, this is because the answer (which I kept below) would clip the formula against the contour of 1 or whatever. Now that I see that the accepted answer does not have any of these features, I also provide a stripped down version, which has the big advantage (IMHO) that you do not have to adjust tons of dimensions.



          documentclassarticle
          usepackagetikz,amsmath,pifont
          usetikzlibrarybackgrounds
          newcommandPlaceCharOverSomething[3][xscale=11,yscale=5]%
          tikz[baseline=(X.base)]
          node[opacity=0] (tmpX)#3;
          beginscope[on background layer]
          clip (tmpX.south west) rectangle (tmpX.north east);
          node[overlay,outer sep=0pt,text=blue!,opacity=0.3,#1]
          bfseriessffamily #2;
          endscope
          node [inner sep=0pt](X)#3;%

          begindocument
          [
          dfraca cdot cb cdot c=
          textcolorblueunderbracetextcolorblackdfracab cdot
          PlaceCharOverSomethingding192$dfraccc$
          _tikz[remember picture]coordinate(b);
          =tikz[remember picture,baseline=(Y.base)]node (Y) $dfracab$;
          ]
          tikz[remember picture,overlay]draw[->,blue] ([yshift=1mm]b)--++(0,-0.2)
          -
          enddocument


          enter image description here



          Now comes a proposal based on this answer and that answer, which allows you to clip a formula against a shape. You may play with xscale, yscale etc. If you make the fraction a node, all tikz options are available. BTW, do not use color, use textcolor instead. And very soon there will be an upgrade of the tikzmark library available, which will simplify such things quite a bit.



          documentclassarticle
          usepackagetikz,amsmath,pifont
          usetikzlibraryfadings,backgrounds
          usepackagecontour
          newcommandPlaceCharOverSomething[3][xscale=11,yscale=5]%
          renewcommand*sfdefaultugq
          begintikzfadingfrompicture[name=temp]
          node[transparent!0,#1]
          contourblackbfseriessffamilytextcolorwhite#2;
          endtikzfadingfrompicture%
          tikz[baseline=(X.base)]
          node[opacity=0] (tmpX)#3;
          beginscope[on background layer]
          clip (tmpX.south west) rectangle (tmpX.north east);
          node[overlay,outer sep=0pt,text=blue!,opacity=0.3,#1]
          bfseriessffamily #2;
          endscope
          path[path fading=temp,fit fading=false,overlay,inner sep=0pt] node (X)#3;
          path (X.west) -- (X.east);
          path (X.north) -- (X.south);%

          begindocument
          [
          dfraca cdot cb cdot c=
          textcolorblueunderbracetextcolorblackdfracab cdot
          PlaceCharOverSomethingding192$dfraccc$
          _tikz[remember picture]coordinate(b);
          =tikz[remember picture,baseline=(Y.base)]node (Y) $dfracab$;
          ]
          tikz[remember picture,overlay]draw[->,blue] ([yshift=1mm]b)--++(0,-0.2)
          -
          enddocument


          Note that, because I am using TikZ, there are certain things that come for free.



          • I do not have manually adjust any dimensions. In particular, the fraction sits precisely where it would sit without this brimborium. However, if you want, you can make the node wider, e.g. by replacing path (X.west) -- (X.east); by path ([xshift=-1pt]X.west) -- (X.east[xshift=1pt]);. I consider the fact that I do not have to finetune the dimensions a big advantage.

          • Similarly, the arrow is fully fixed by the elements of the formula. All the dimensions of draw[->,blue] (.2,-.5)--(.2,-.7)--(1.2,-.7)--(1.2,-.3); get redundant, the only thing I specify in draw[->,blue] ([yshift=1mm]b)--++(0,-0.2)
            -|(Y);
            is an yshift which makes the arrow start a bit higher up (I actually merely added this to show you how to adjust these things if you really want to) and -0.2 which just says that the arrow needs to go down by 0.2cm before connecting to the fraction on the right. If you add something before the fraction on the right, the arrow will auto-adjust.

          • This path fading is extremely powerful since it allows you to cut things off that run out of the character. Although not needed here, this is something that may me used in future applications of these tricks.

          • Needless to say that, if you decide that the fraction c/c should also come with a certain opaqueness or color, this would only require a simple switch.






          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 3 mins ago

























          answered 2 hours ago









          marmot

          61.8k466134




          61.8k466134











          • I have been using tikzmarknode more frequently now. How can I make that area( node ) you posted a 1 instead of an opaque yellow rectangle. What you posted is much cleaner for sure. This is the heart of my question.
            – MathScholar
            2 hours ago











          • @MathScholar I do not understand your question. If you want a 1 instead of an opaque rectangle with a fraction in it, replace tikz[baseline=(X.base)]node[fill=yellow,opacity=0.5](X)$dfraccc$; by 1. And yes, tikzmarknode will make this easier. Note, however, the opaque stuff does not really get referenced later here, so for this thingy you do not need a tikzmarknode, but for the other two thingies tikzmark and tikzmarknode will be more elegant.
            – marmot
            2 hours ago










          • How can I make that opaque area have the shape of a 1, the number one, while leaving the $dfraccc$ as is ? I am not sure how to post an image in the comment section.
            – MathScholar
            2 hours ago











          • I added an image of what I am trying to replicate. Thanks for your efforts
            – MathScholar
            2 hours ago











          • I noticed that the character 1 is pushing out the product while compiling your solution.
            – MathScholar
            1 hour ago

















          • I have been using tikzmarknode more frequently now. How can I make that area( node ) you posted a 1 instead of an opaque yellow rectangle. What you posted is much cleaner for sure. This is the heart of my question.
            – MathScholar
            2 hours ago











          • @MathScholar I do not understand your question. If you want a 1 instead of an opaque rectangle with a fraction in it, replace tikz[baseline=(X.base)]node[fill=yellow,opacity=0.5](X)$dfraccc$; by 1. And yes, tikzmarknode will make this easier. Note, however, the opaque stuff does not really get referenced later here, so for this thingy you do not need a tikzmarknode, but for the other two thingies tikzmark and tikzmarknode will be more elegant.
            – marmot
            2 hours ago










          • How can I make that opaque area have the shape of a 1, the number one, while leaving the $dfraccc$ as is ? I am not sure how to post an image in the comment section.
            – MathScholar
            2 hours ago











          • I added an image of what I am trying to replicate. Thanks for your efforts
            – MathScholar
            2 hours ago











          • I noticed that the character 1 is pushing out the product while compiling your solution.
            – MathScholar
            1 hour ago
















          I have been using tikzmarknode more frequently now. How can I make that area( node ) you posted a 1 instead of an opaque yellow rectangle. What you posted is much cleaner for sure. This is the heart of my question.
          – MathScholar
          2 hours ago





          I have been using tikzmarknode more frequently now. How can I make that area( node ) you posted a 1 instead of an opaque yellow rectangle. What you posted is much cleaner for sure. This is the heart of my question.
          – MathScholar
          2 hours ago













          @MathScholar I do not understand your question. If you want a 1 instead of an opaque rectangle with a fraction in it, replace tikz[baseline=(X.base)]node[fill=yellow,opacity=0.5](X)$dfraccc$; by 1. And yes, tikzmarknode will make this easier. Note, however, the opaque stuff does not really get referenced later here, so for this thingy you do not need a tikzmarknode, but for the other two thingies tikzmark and tikzmarknode will be more elegant.
          – marmot
          2 hours ago




          @MathScholar I do not understand your question. If you want a 1 instead of an opaque rectangle with a fraction in it, replace tikz[baseline=(X.base)]node[fill=yellow,opacity=0.5](X)$dfraccc$; by 1. And yes, tikzmarknode will make this easier. Note, however, the opaque stuff does not really get referenced later here, so for this thingy you do not need a tikzmarknode, but for the other two thingies tikzmark and tikzmarknode will be more elegant.
          – marmot
          2 hours ago












          How can I make that opaque area have the shape of a 1, the number one, while leaving the $dfraccc$ as is ? I am not sure how to post an image in the comment section.
          – MathScholar
          2 hours ago





          How can I make that opaque area have the shape of a 1, the number one, while leaving the $dfraccc$ as is ? I am not sure how to post an image in the comment section.
          – MathScholar
          2 hours ago













          I added an image of what I am trying to replicate. Thanks for your efforts
          – MathScholar
          2 hours ago





          I added an image of what I am trying to replicate. Thanks for your efforts
          – MathScholar
          2 hours ago













          I noticed that the character 1 is pushing out the product while compiling your solution.
          – MathScholar
          1 hour ago





          I noticed that the character 1 is pushing out the product while compiling your solution.
          – MathScholar
          1 hour ago


















           

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