What is it called when terms disappear when solving fractions?

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If $a = fracxb$ and $a = fraccb$, and I solve for $x$ I get $x = c$.



$b$ has been removed because it appeared in the numerator and the denominator.



What is it called in English what happened to $b$?




$b$ ...




In German I would say "$b$ kürzt sich weg."










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    up vote
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    down vote

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    If $a = fracxb$ and $a = fraccb$, and I solve for $x$ I get $x = c$.



    $b$ has been removed because it appeared in the numerator and the denominator.



    What is it called in English what happened to $b$?




    $b$ ...




    In German I would say "$b$ kürzt sich weg."










    share|improve this question







    New contributor




    AndreKR is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.





















      up vote
      1
      down vote

      favorite









      up vote
      1
      down vote

      favorite











      If $a = fracxb$ and $a = fraccb$, and I solve for $x$ I get $x = c$.



      $b$ has been removed because it appeared in the numerator and the denominator.



      What is it called in English what happened to $b$?




      $b$ ...




      In German I would say "$b$ kürzt sich weg."










      share|improve this question







      New contributor




      AndreKR is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      If $a = fracxb$ and $a = fraccb$, and I solve for $x$ I get $x = c$.



      $b$ has been removed because it appeared in the numerator and the denominator.



      What is it called in English what happened to $b$?




      $b$ ...




      In German I would say "$b$ kürzt sich weg."







      language-use






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      New contributor




      AndreKR is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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      share|improve this question







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      AndreKR

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          2 Answers
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          If you continue the operations until
          $$requirecancelfracxb=fraccb,qquadleft(fracxbright)b=left(fraccbright)b,qquad xleft(fracbbright)=cleft(fracbbright),qquad xleft(fraccancel bcancel bright)=cleft(fraccancel bcancel bright)$$
          then $x=c$, I would say that you cancelled the common factor $b$ in the fraction.






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            So German "$b$ kürzt sich weg" becomes in English "$b$ cancels out". We may also say "$b$ is eliminated".






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              2 Answers
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              2 Answers
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              active

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              active

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              up vote
              1
              down vote



              accepted










              If you continue the operations until
              $$requirecancelfracxb=fraccb,qquadleft(fracxbright)b=left(fraccbright)b,qquad xleft(fracbbright)=cleft(fracbbright),qquad xleft(fraccancel bcancel bright)=cleft(fraccancel bcancel bright)$$
              then $x=c$, I would say that you cancelled the common factor $b$ in the fraction.






              share|improve this answer
























                up vote
                1
                down vote



                accepted










                If you continue the operations until
                $$requirecancelfracxb=fraccb,qquadleft(fracxbright)b=left(fraccbright)b,qquad xleft(fracbbright)=cleft(fracbbright),qquad xleft(fraccancel bcancel bright)=cleft(fraccancel bcancel bright)$$
                then $x=c$, I would say that you cancelled the common factor $b$ in the fraction.






                share|improve this answer






















                  up vote
                  1
                  down vote



                  accepted







                  up vote
                  1
                  down vote



                  accepted






                  If you continue the operations until
                  $$requirecancelfracxb=fraccb,qquadleft(fracxbright)b=left(fraccbright)b,qquad xleft(fracbbright)=cleft(fracbbright),qquad xleft(fraccancel bcancel bright)=cleft(fraccancel bcancel bright)$$
                  then $x=c$, I would say that you cancelled the common factor $b$ in the fraction.






                  share|improve this answer












                  If you continue the operations until
                  $$requirecancelfracxb=fraccb,qquadleft(fracxbright)b=left(fraccbright)b,qquad xleft(fracbbright)=cleft(fracbbright),qquad xleft(fraccancel bcancel bright)=cleft(fraccancel bcancel bright)$$
                  then $x=c$, I would say that you cancelled the common factor $b$ in the fraction.







                  share|improve this answer












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                  answered 3 hours ago









                  Joel Reyes Noche

                  4,61711448




                  4,61711448




















                      up vote
                      3
                      down vote













                      So German "$b$ kürzt sich weg" becomes in English "$b$ cancels out". We may also say "$b$ is eliminated".






                      share|improve this answer
























                        up vote
                        3
                        down vote













                        So German "$b$ kürzt sich weg" becomes in English "$b$ cancels out". We may also say "$b$ is eliminated".






                        share|improve this answer






















                          up vote
                          3
                          down vote










                          up vote
                          3
                          down vote









                          So German "$b$ kürzt sich weg" becomes in English "$b$ cancels out". We may also say "$b$ is eliminated".






                          share|improve this answer












                          So German "$b$ kürzt sich weg" becomes in English "$b$ cancels out". We may also say "$b$ is eliminated".







                          share|improve this answer












                          share|improve this answer



                          share|improve this answer










                          answered 1 hour ago









                          Gerald Edgar

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                          2,88611012




















                              AndreKR is a new contributor. Be nice, and check out our Code of Conduct.









                               

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