# How do you subtract \frac { 10} { 14} - \frac { 8} { 14}?

Jan 8, 2018

$\textcolor{b l u e}{\frac{1}{7}}$

#### Explanation:

When subtracting fraction you have to get the same denominator (bottom number of fraction), but in this case they are the same. So therefore you only need to minus the numerator (top number of fraction):

$\textcolor{red}{10 - 8 = 2}$

$\therefore$ color(red)(10/14-8/14=color(blue)(2/14)

These both have a common multiple of 2, therefore it can be simplified.

$\textcolor{red}{\frac{2}{2} = 1}$
$\textcolor{red}{\frac{14}{2} = 7}$

Therefore the simplified fraction is:

$\textcolor{b l u e}{\frac{1}{7}}$