Question

Write each of the following rational numbers in the standard form.

$\frac{30}{-48}$

Answer 1

The given rational number is $\frac{30}{-48}$.

To convert the given rational number in standard form divide numerator and denominator of the given rational number by HCF of numerator and denominator and denominator should be positive.

First , lets make its denominator positive

$\frac{30}{-48}=\frac{30\times -1}{-48\times -1}=\frac{-30}{48}$

$$\begin{gathered} 30=2\times 3\times 5 \\ 48=2\times 2\times 2\times 2\times 3 \end{gathered}$$

HCF$(30,48)$ = $6.$

Standard form of the given rational number is

$\frac{-30÷6}{48÷6}=\frac{-5}{8}$

Hence , $\frac{30}{-48}$ can be written in standard form as $\frac{-5}{8}.$