Question

Write the product when $\frac{6}{13}$ is multiplied by the reciprocal of $-\frac{7}{16}$.

Answer 1

Find the product of two fractions:

The reciprocal of $-\frac{7}{16}$ is $-\frac{16}{7}$.

Now, product of $\frac{6}{13}$ and $-\frac{16}{7}$is,

$$\begin{gathered} \frac{6}{13}\times \left(-\frac{16}{7}\right)=-\frac{6\times 16}{13\times 7} \\ =-\frac{96}{91} \end{gathered}$$

Hence, the required answer is $-\frac{96}{91}$.