Question

The standard form of $\frac{192}{-168}$ 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 $1$.

$\frac{192}{-168}$

HCF of $192$ and $-168$ is $24$

Then, divide both numerator and denominator by $24$.

$$\begin{gathered} =\frac{192÷24}{-168÷24} \\ =\frac{8}{-7} \end{gathered}$$

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

$$\begin{gathered} =\frac{(8\times -1)}{(-7\times -1)} \\ =\frac{-8}{7} \end{gathered}$$

Hence, the required answer is $\frac{-8}{7}$.