Question

Verify that ( p + q ) + r = p + ( q + r ) for the following values : p = -9 / 11 , q = -3 / 5 , r = -9 / 22 . please please give answer in steps .​

Answer 1

Step-by-step explanation:

LHS

(p+q)+r

(-9/11+-3/5)+-9/22

(-78/55)+-9/22

-201/110

RHS

p+(q+r)

-9/11+(-3/5+-9/22)

-201/110

Answer 2

Given p=-9/11, q=-3/5, and r=-9/22

(p+q)=[(-9/11)+(-3/5)]

Taking LCM we get , p+q = -78/55

Now, LHS = (-78/55) +( -9/22)

= -201/110

Now, (q+r) = -111/110

Now, RHS =(-9/11) + (-111/110)

=-201/110.

Hence Proved.

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