Question

The standard form of $\frac{18}{-24}$ is ______.

Answer 1

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 $1$.

$\frac{18}{-24}$

HCF of $18$ and $-24$ is $6$

Then, divide both numerator and denominator by $6$.

$$\begin{gathered} =\frac{(18÷6)}{(-24÷6)} \\ =\frac{3}{-4} \end{gathered}$$

Now, multiplying $-1$ to both numerator and denominator.

$$\begin{gathered} =\frac{(3\times -1)}{(-4\times -1)} \\ =\frac{-3}{4} \end{gathered}$$

Hence, the answer is $\frac{-3}{4}$.