Question

find the number using associative property of addition​

Answer 1

Answer:

-21/18+(7/16+13/4)=(-21/18+7/16)+13/4

LHS= -21/18+(7/16+13/4)

First you have to solve the bracket

So take lcm of 16 and 4

The lcm of 16 and 4 is 16

Then make the both fractions equivalent

7/16=7/16

13/4=52/16

7/16+52/16=59/16

Then our remaining question is:

-21/18+59/16

Now take lcm of 18 and 16

So lcm of 18 and 16 is 144

Then make the both fractions equivalent

-21/18= -168/144

59/16= 531/144

-168/144+531/144= -363/144

Now we can make them in simplest form

so.......    -363/144= -121/48

RHS=(-21/18+7/16)+13/4

First solve the question in the bracket

Then take lcm of 18 and 16

So the lcm of 18 and 16 is 144

Now make them equivalent fractions

-21/18= -168/144

7/16= 63/144

-168/144+63/144= -105/144

Now the remaining question is:

-105/144+13/4

First take lcm of 144 and 4

So the lcm of 144 and 4 is 144

Now make them equivalent

-105/144= -105/144

13/4= 468/144

-105/144+468/144= -363/144

So we can make -363/144 in simplest form

so........   -363/144= -121/48

LHS=RHS

HOPE YOU LIKE IT AND IF PLS MARK THE BRAINLIEST