Question

Express $\frac{2}{-9}$ as a rational number with a numerator $-8$

Answer 1

Given a rational number is $\frac{2}{-9}$

To obtain $-8$ in the numerator we need to multiply numerator by $-4$.

Now if we multiply $-4$with the numerator, we have to multiply $-4$to the denominator, so that value remains unchanged.

$\frac{2}{-9}=\frac{2\times (-4)}{-9\times (-4)}=\frac{-8}{36}$

Hence, the required rational number is $\frac{-8}{36}$