Question

Write the following numbers in the form $\frac{\mathrm{p}}{\mathrm{q}}$ where $\mathrm{q}$ is a positive integer.

$-3\frac{5}{6}$

Answer 1

As we can see given number is a mixed fraction form, so we have to convert it into fraction or $\frac{\mathrm{p}}{\mathrm{q}}$ form.

So,

$$\begin{gathered} -3\frac{5}{6}=-\frac{3\times 6+5}{6} \\ =-\frac{18+5}{6} \\ =-\frac{23}{6} \end{gathered}$$

But there is negative sign so it will become $\frac{-23}{6}$.

Hence, $\frac{-23}{6}$ is in the form $\frac{\mathrm{p}}{\mathrm{q}}$ where $6$ is a positive integer.