Question

Multiply:

$-11$ by $\frac{29}{66}$

Answer 1

We know, $\mathrm{Product}\mathrm{of}\mathrm{two}\mathrm{rational}\mathrm{numbers}=\frac{\mathrm{Product}\mathrm{of}\mathrm{their}\mathrm{numerators}}{\mathrm{Product}\mathrm{of}\mathrm{their}\mathrm{denominators}}$

So, product of $-11$ by $\frac{29}{66}$

$$\begin{gathered} =\frac{-11}{1}\times \frac{29}{66} \\ =\frac{-\cancel{11}\times 29}{1\times {\displaystyle \underset{6}{\cancel{66}}}} \\ =\frac{-29}{6} \end{gathered}$$

Hence, multiply of $-11$ by $\frac{29}{66}$ is $\frac{-29}{6}$.