Question

(-7/11+2/-5)+-13/22=-7/11(2/-5+-13/22)​

Answer 1

Associative property of addition :

While adding three or more rational numbers there can be group in any order.

If a/b ,c/d & e/f be any three rational numbers then

(a/b +c/d ) + e/f = a/b +(c/d + e/f)

GIVEN : (-7/11+2/-5)+-13/22=-7/11+(2/-5+-13/22)

SOLUTION :

LHS :

(-7/11+2/-5)+-13/22

(-7/11- 2/5) -13/22

(-7×5 -2×11)/55 -13/22

(-35 -22)/55 - 13/22

-57/55 -13/22

(-57×2 - 13×5 ) /110

(-114 - 65 )/110

-179/110

RHS

-7/11+(2/-5+-13/22)

-7/11+(- ⅖ -13/22)

-7/11 +(-2×22 - 13×5)/110

-7/11 +(-44-65)/110

-7/11 + (-109)/110

-7/11 -109/110

(-7×10 - 109 ×1)/110

(-70 -109)/110

-179/110

LHS = RHS

Hence verified

HOPE THIS WILL HELP YOU...