Question

Convert $0.75$ as a 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 -

$$\begin{gathered} 0.75=\frac{75}{{10}^2} \\ =\frac{75}{100} \end{gathered}$$

Step 2: Reduce the fraction to the lowest term -

HCF of $75\&100$ -

$$\begin{gathered} 75=3\times 5\times 5 \\ 100=2\times 2\times 5\times 5 \end{gathered}$$

HCF $=5\times 5=25$

Divide both the numerator and denominator by HCF -

$\frac{75}{100}=\frac{75÷25}{100÷25}=\frac{3}{4}$

Hence, $0.75$ in fractional form is $\frac{3}{4}.$