Question

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

$\frac{72}{126}$

Answer 1

The given rational number is $\frac{72}{126}$.

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.

$$\begin{gathered} 72=2\times 2\times 2\times 3\times 3 \\ 126=2\times 3\times 3\times 7 \end{gathered}$$

HCF$(72,126)$ = $=2\times 3\times 3=18.$

Standard form of the given rational number is

$\frac{72÷18}{126÷18}=\frac{4}{7}$

Hence , $\frac{72}{126}$ can be written in standard form as $\frac{4}{7}.$