Question

Simplify .

$\frac{7}{-45}\times 9$

Answer 1

First , we write the rational numbers in their standard form.

$\frac{7}{-45}=\frac{-7\times -1}{-45\times -1}=\frac{7}{45}$

and $9=\frac{9}{1}$

$\therefore \frac{7}{-45}\times 9=\frac{-7}{45}\times \frac{9}{1}=\frac{-7\times 9}{45\times 1}=\frac{-7\times 1}{5\times 1}=\frac{-7}{5}$

Hence , $\frac{7}{-45}\times 9=\frac{-7}{5}.$