# Decimal to fraction Formula

Decimal Number = 0.03 , 2.87 , 15.625

Fraction = $\frac{2}{3}$ ; $\frac{4}{7}$ ; $\frac{12}{5}$

Decimal to Fraction conversion formula helps to convert a decimal number into a fraction form.

We will learn how to convert a decimal into a fraction by the following examples –

Example 1: Convert 0.03 into a fraction.

Count the number of digits after the decimal. In this case, there are two digits after the decimal. Hence, we need to put 2 zeros in the denominator to make it a fraction

Therefore 0.03 = $\frac{3}{100}$

Example 2: Convert 0.5 into a fraction.

Decimal 0.5

= $\frac{5}{10}$

By simplifying further, we get.

= $\frac{1}{2}$

Therefore  0.5 = $\frac{1}{2}$

#### Practise This Question

The bit rate for a signal, which has a sampling rate of 8 kHz and where 16 quantisation levels have been used is