# How do you subtract 2\frac { 1} { 2} - \frac { 4} { 5}?

Mar 9, 2018

$1 \frac{7}{10}$

#### Explanation:

First, find the least common denominator between $2$ and $5 \to 10$

$2 \frac{1}{2} - \frac{4}{5}$

$= 2 \frac{5}{10} - \frac{8}{10}$

Then convert the $2$ into the fraction to make an improper fraction

$2 = \frac{20}{10}$

So

$\frac{25}{10} - \frac{8}{10}$

$= \frac{17}{10} = 1 \frac{7}{10}$

Mar 9, 2018

$1 \frac{7}{10}$

#### Explanation:

$2 \frac{1}{2} - \frac{4}{5}$

$\therefore = \frac{5}{2} - \frac{4}{5}$

$\therefore = \frac{25 - 8}{10}$

$\therefore = \frac{17}{10}$

$\therefore = 1 \frac{7}{10}$