Question

verify associative property of addition and multiplication by taking a=5/6 b=7/9 and c=-7/12​

Answer 1

Answer: Associative property of addition:

a+(b+c) = (a+b)+c

5/6+(7/9+7/12) = (5/6+7/9)+7/12

5/6+(7*4/9*4+7*3/12*3) =  (5*3/6*3+7*2/9*2)+7/12

     5/6+(28/36+21/36)   =  (15/18+14/18)+7/12

                    5/6+49/36  =  29/18+7/12

           5*6/6*6+49/36    =  29*2/18*2+7*3/12*3

              30/36+49/36    =   58/36+21/36

                         79            =   79

Therefore associative property is closed under addition.

Answer: Associative property of multiplication:

a+(b+c) = (a+b)+c

5/6(7/9×7/12) = (5/6×7/9)7/12

 5/6×49/108  =  35/54×7/12

      245/648  =   245/648

Therefore associative property is closed under multiplication.

Hope it helps you

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