Let us first understand what a common fraction is. A fraction as a term would mean a type of division which is considered as a part or piece of a whole or that which indicates the division of a whole into equal units or parts. A common fraction would therefore definitely refer to an expression where the denominator would be the same for all fractions like $\frac{1}{5}$, $\frac{2}{5}$, etc.

The expression if and when expressed in decimals would qualify as a decimal fraction so for each of the common fractions like $\frac{1}{5}$, $\frac{2}{5}$ or $\frac{3}{5}$ can be expressed in decimal terms as well.

$\frac{1}{5}$ = 0.2

$\frac{2}{5}$ = 0.4

$\frac{3}{5}$ = 0.6

Common fraction is in fact another way of indicating division and is nothing but getting the numerator divided by the denominator into decimals. To change a common fraction into its decimal fraction we need to follow the steps mentioned below.

**Step 1:** The numerator is divided by the denominator.

**Step 2:** Carry the division beyond the needed number of decimal places by one digit.

**Step 3:** Round off the quotient wherever required to the number of decimal places.### Examples on Expressing a Common Fraction as a Decimal Fraction

Here are some examples based on common fraction as a decimal fraction:

**Example 1:**

Find the decimal fractions of common fractions $\frac{2}{12}$ , $\frac{5}{6}$ and $\frac{7}{6}$

**Solution :** Given $\frac{2}{12}$ , $\frac{5}{6}$ and $\frac{7}{6}$

**Step 1:** Convert the fractions into its lowest equivalents ($\frac{2}{12}$ = $\frac{2\times1}{2\times6}$ = $\frac{1}{6}$ )

**Step 2:** Convert into common fractions ( $\frac{1}{6}$ , $\frac{5}{6}$ and $\frac{7}{6}$ )

**Step 3:** Convert into decimals (0.1667) , (0.8333) and (1.1667)

**Example 2:**

Find the decimal fractions of common fractions $\frac{2}{7}$, $\frac{6}{14}$, and $\frac{4}{7}$

**Solution:**

**Basic idea:** Convert the fractions into common fractions

**Step 1:** Convert the fractions into its lowest equivalents ( $\frac{6}{14}$ = ($\frac{2\times3}{2\times7}$) = $\frac{3}{7}$ )

**Step 2:** Convert into common fractions ( $\frac{2}{7}$, $\frac{3}{7}$, $\frac{4}{7}$ )

**Step 3:** Convert into decimals (0.2857) (0.42857) (0.57142857)