Question

Convert $0.36$ into fraction

Answer 1

Step 1: Convert the decimal to decimal fraction -

For converting any decimal to decimal fraction, we remove the decimal and we write ${10}^x$ in the denominator, where $x$ represents the number of digits after decimal -

$$\begin{gathered} 0.36=\frac{36}{{10}^2} \\ =\frac{36}{100} \end{gathered}$$

Step 2: Reduce the fraction to the lowest term -

HCF of $36\&100$ -

$$\begin{gathered} 36=2\times 2\times 3\times 3 \\ 100=2\times 2\times 5\times 5 \end{gathered}$$

HCF $=2\times 2=4$

Divide both the numerator and denominator by HCF -

$\frac{36}{100}=\frac{36÷4}{100÷4}=\frac{9}{25}$

Hence, $0.36$ in fractional form is $\frac{9}{25}.$