Question

Check the commutative property of multiplication for $\frac{-7}{13},\frac{25}{27}$

Answer 1

Commutative property of multiplication for any element $a,b$ is given by $a\times b=b\times a$
To check, $\frac{-7}{13}\times \frac{25}{27}=\frac{25}{27}\times \frac{-7}{13}$

LHS $=\frac{-7}{13}\times \frac{25}{27}=\frac{(-7)\times 25}{13\times 27}=\frac{-175}{351}$

RHS $=\frac{25}{17}\times \frac{-7}{13}=\frac{(-7)\times 25}{13\times 27}=\frac{-175}{351}$
$\therefore$ RHS = LHS

Hence, $\frac{-7}{13},\frac{25}{27}$ are commutative with respect to multiplication..