How to simplify this algebraic expression? What is the proper name for this problem?











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I am studying for a teacher exam and I am stumped with this problem $3cdot frac{(2+6)^2}{6}$



I know that the answer is $32$ because of the answer sheet, but how and why is this the answer? Can I get an example?










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  • 1




    Where did you stuck ? Are you able to calculate $(2+6)^2$ ?
    – callculus
    Jul 2 '16 at 14:25










  • no I can not remember how to calculate this? its been awhile for me
    – tina
    Jul 2 '16 at 14:30










  • OK, what is $2+6$ ?
    – callculus
    Jul 2 '16 at 14:31










  • Start by calculating $2+6$.
    – user228113
    Jul 2 '16 at 14:34






  • 1




    Yes. But it might be easiert to first calculate the fraction of 3 and 6: $frac{3}{6}$. Then take the intermediate result of 64 and multiply it by $frac{3}{6}=frac{1}{2}$: $ $ $64cdot frac12=64/2=32$
    – callculus
    Jul 2 '16 at 14:56

















up vote
0
down vote

favorite












I am studying for a teacher exam and I am stumped with this problem $3cdot frac{(2+6)^2}{6}$



I know that the answer is $32$ because of the answer sheet, but how and why is this the answer? Can I get an example?










share|cite|improve this question




















  • 1




    Where did you stuck ? Are you able to calculate $(2+6)^2$ ?
    – callculus
    Jul 2 '16 at 14:25










  • no I can not remember how to calculate this? its been awhile for me
    – tina
    Jul 2 '16 at 14:30










  • OK, what is $2+6$ ?
    – callculus
    Jul 2 '16 at 14:31










  • Start by calculating $2+6$.
    – user228113
    Jul 2 '16 at 14:34






  • 1




    Yes. But it might be easiert to first calculate the fraction of 3 and 6: $frac{3}{6}$. Then take the intermediate result of 64 and multiply it by $frac{3}{6}=frac{1}{2}$: $ $ $64cdot frac12=64/2=32$
    – callculus
    Jul 2 '16 at 14:56















up vote
0
down vote

favorite









up vote
0
down vote

favorite











I am studying for a teacher exam and I am stumped with this problem $3cdot frac{(2+6)^2}{6}$



I know that the answer is $32$ because of the answer sheet, but how and why is this the answer? Can I get an example?










share|cite|improve this question















I am studying for a teacher exam and I am stumped with this problem $3cdot frac{(2+6)^2}{6}$



I know that the answer is $32$ because of the answer sheet, but how and why is this the answer? Can I get an example?







arithmetic






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share|cite|improve this question













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share|cite|improve this question








edited yesterday









Robert Howard

1,612622




1,612622










asked Jul 2 '16 at 14:24









tina

61




61








  • 1




    Where did you stuck ? Are you able to calculate $(2+6)^2$ ?
    – callculus
    Jul 2 '16 at 14:25










  • no I can not remember how to calculate this? its been awhile for me
    – tina
    Jul 2 '16 at 14:30










  • OK, what is $2+6$ ?
    – callculus
    Jul 2 '16 at 14:31










  • Start by calculating $2+6$.
    – user228113
    Jul 2 '16 at 14:34






  • 1




    Yes. But it might be easiert to first calculate the fraction of 3 and 6: $frac{3}{6}$. Then take the intermediate result of 64 and multiply it by $frac{3}{6}=frac{1}{2}$: $ $ $64cdot frac12=64/2=32$
    – callculus
    Jul 2 '16 at 14:56
















  • 1




    Where did you stuck ? Are you able to calculate $(2+6)^2$ ?
    – callculus
    Jul 2 '16 at 14:25










  • no I can not remember how to calculate this? its been awhile for me
    – tina
    Jul 2 '16 at 14:30










  • OK, what is $2+6$ ?
    – callculus
    Jul 2 '16 at 14:31










  • Start by calculating $2+6$.
    – user228113
    Jul 2 '16 at 14:34






  • 1




    Yes. But it might be easiert to first calculate the fraction of 3 and 6: $frac{3}{6}$. Then take the intermediate result of 64 and multiply it by $frac{3}{6}=frac{1}{2}$: $ $ $64cdot frac12=64/2=32$
    – callculus
    Jul 2 '16 at 14:56










1




1




Where did you stuck ? Are you able to calculate $(2+6)^2$ ?
– callculus
Jul 2 '16 at 14:25




Where did you stuck ? Are you able to calculate $(2+6)^2$ ?
– callculus
Jul 2 '16 at 14:25












no I can not remember how to calculate this? its been awhile for me
– tina
Jul 2 '16 at 14:30




no I can not remember how to calculate this? its been awhile for me
– tina
Jul 2 '16 at 14:30












OK, what is $2+6$ ?
– callculus
Jul 2 '16 at 14:31




OK, what is $2+6$ ?
– callculus
Jul 2 '16 at 14:31












Start by calculating $2+6$.
– user228113
Jul 2 '16 at 14:34




Start by calculating $2+6$.
– user228113
Jul 2 '16 at 14:34




1




1




Yes. But it might be easiert to first calculate the fraction of 3 and 6: $frac{3}{6}$. Then take the intermediate result of 64 and multiply it by $frac{3}{6}=frac{1}{2}$: $ $ $64cdot frac12=64/2=32$
– callculus
Jul 2 '16 at 14:56






Yes. But it might be easiert to first calculate the fraction of 3 and 6: $frac{3}{6}$. Then take the intermediate result of 64 and multiply it by $frac{3}{6}=frac{1}{2}$: $ $ $64cdot frac12=64/2=32$
– callculus
Jul 2 '16 at 14:56












1 Answer
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It seems that you did find your way to the correct answer, so just to summarize one correct sequence of steps you could take to get there, we have (using the method that callculus described in a comment): $$3cdotfrac{(2+6)^2}{6}=3cdotfrac{8^2}{6}=3cdotfrac{64}{6}=frac{3}{6}cdot64=frac{1}{2}cdot64=32$$






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    up vote
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    It seems that you did find your way to the correct answer, so just to summarize one correct sequence of steps you could take to get there, we have (using the method that callculus described in a comment): $$3cdotfrac{(2+6)^2}{6}=3cdotfrac{8^2}{6}=3cdotfrac{64}{6}=frac{3}{6}cdot64=frac{1}{2}cdot64=32$$






    share|cite|improve this answer



























      up vote
      0
      down vote













      It seems that you did find your way to the correct answer, so just to summarize one correct sequence of steps you could take to get there, we have (using the method that callculus described in a comment): $$3cdotfrac{(2+6)^2}{6}=3cdotfrac{8^2}{6}=3cdotfrac{64}{6}=frac{3}{6}cdot64=frac{1}{2}cdot64=32$$






      share|cite|improve this answer

























        up vote
        0
        down vote










        up vote
        0
        down vote









        It seems that you did find your way to the correct answer, so just to summarize one correct sequence of steps you could take to get there, we have (using the method that callculus described in a comment): $$3cdotfrac{(2+6)^2}{6}=3cdotfrac{8^2}{6}=3cdotfrac{64}{6}=frac{3}{6}cdot64=frac{1}{2}cdot64=32$$






        share|cite|improve this answer














        It seems that you did find your way to the correct answer, so just to summarize one correct sequence of steps you could take to get there, we have (using the method that callculus described in a comment): $$3cdotfrac{(2+6)^2}{6}=3cdotfrac{8^2}{6}=3cdotfrac{64}{6}=frac{3}{6}cdot64=frac{1}{2}cdot64=32$$







        share|cite|improve this answer














        share|cite|improve this answer



        share|cite|improve this answer








        answered 2 days ago


























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