Question

Verify commutitivity of addition of rational. No for each of the following pairs
a) -11/5. And 4/7

Answer 1

Step-by-step explanation:

Two rational numbers 'a' and 'b' are said to satisfy commutative property if

   a + b = b + a

Here,  $a = \frac{-11}{5}$   and $b = \frac{4}{7}$

LHS = a + b = $\frac{-11}{5} + \frac{4}{7}$ = $\frac{-77 + 20}{35}$ = $\frac{-57}{35}$

RHS = b + a = $\frac{4}{7} + \frac{-11}{5}$  =  $\frac{20 - 77}{35}$  =  $\frac{-57}{35}$

We see that, LHS = RHS.

So, the commutative property is verified.