# How do I add a whole number with a fraction?

Apr 3, 2016

A whole number can be treated as a fraction too, by giving it a denominator $1$.

#### Explanation:

A whole number can be expressed as a fraction by giving it a denominator $1$.

For example $3 = \frac{3}{1}$.

Then to add two fractions, you need to give them a common denominator, so multiply the numerator and denominator of our newly created fraction by the denominator of the original fraction. Then you can add the numerators, as follows:

$3 + \frac{2}{5} = \frac{3}{1} + \frac{2}{5} = \frac{3 \cdot 5}{1 \cdot 5} + \frac{2}{5} = \frac{15}{5} + \frac{2}{5} = \frac{15 + 2}{5} = \frac{17}{5}$