Question

Verify the associative property of addition for the following rational numbers:
7/15,-4/5,2/3​

Answer 1

Let's have a look what is associative property of addition

it's like a+ (B+C) = (A+B)+c

In place of a = 7/15

in place of b= -4/5

in place of c = 2/3

now let's put them

7/15+(-4/5+2/3)= (7/15+(-4/5)+2/3

and let's take lcm of 15, 5 and 3 = 15

7/15 x 1/1 = 7/15 , -4/5 x 3/3= -12/15 , 2/3 x 5/5= 10/15

let's add 7/15 , -12/15 and 10/15

so it will be like 7+(-12)+10

so on simplifying= 7( + and - becomes -) -12+10

answer will be 5/15  LHS solved

Now RHS

all things will be same except their placements

7/15 x 1/1 = 7/15 , -4/5 x 3/3= -12/15 , 2/3 x 5/5= 10/15

now let's add 7/15 , -12/15 and 10/15

so it will be like 7+(-12)+10

so on simplifying= 7( + and - becomes -) -12+10

answer will be 5/15