Question

Check the commutative property of multiplication for the following pairs:
$\frac{-8}{9},\frac{-17}{19}$

Answer 1

Commutative property of multiplication is given by $a\times b=b\times a$
To check, $\frac{-8}{9}\times \frac{-17}{19}=\frac{-17}{19}\times \frac{-8}{9}$
Consider LHS,

$=\frac{-8}{9}\times \frac{-17}{19}$

$=\frac{(-8)\times -17}{9\times 19}$ = $\frac{136}{171}$

RHS $=\frac{-17}{19}\times \frac{-8}{9}$

$=\frac{(-17)\times -8}{19\times 9}$ = $\frac{136}{171}$

$\therefore$ RHS = LHS

Hence, $\frac{-8}{9},\frac{-17}{19}$ are commutative with respect to multiplication.