Question

Find the multiplicative inverse of $\frac{4}{7}$.

• A. $\frac{-4}{7}$
• B. $\frac{7}{4}$
• C. $\frac{4}{7}$
• D. $\frac{-7}{4}$

Answer 1

The correct option is B $\frac{7}{4}$

Multiplicative inverse of $\frac{4}{7}$ is $\frac{7}{4}$, because when we multiply the number by its multiplicative inverse the resultant is one.
So, let's check
$\frac{4}{7}\times \frac{7}{4}$ = $\frac{28}{28}$ = 1
Hence, multiplicative inverse of $\frac{4}{7}$ is $\frac{7}{4}$.