Question

The standard form of $\frac{-48}{60}$ is:

• A. $\frac{48}{60}$
• B. $\frac{-60}{48}$
• C. $\frac{-4}{5}$
• D. $\frac{-4}{-5}$

Answer 1

The correct option is C

$\frac{-4}{5}$

Given : $\frac{-48}{60}$

A rational number is said to be in the standard form if its denominator is a positive integer and the numerator and denominator have no common factor other than $1$.

HCF of $-48$ and $60$ is $12$

Then, divide both numerator and denominator by $12$.

$$\begin{gathered} =\frac{(-48÷12)}{(60÷12)} \\ =\frac{-4}{5} \end{gathered}$$

Hence, the standard form of $\frac{-48}{60}$ is $\frac{-4}{5}$.