Question

The multiplicative inverse of $\frac{3}{-4}$is_________

Answer 1

We know that,

For a given rational number, its multiplicative inverse is that rational number which when multiplied by the given rational number gives the result as $1$.

So, $\frac{3}{-4}\times \frac{-4}{3}=\frac{3\times (-4)}{-4\times 3}=\frac{-12}{-12}=1$

Hence, the multiplicative inverse of $\frac{3}{-4}$is $\frac{-4}{3}$.