# How do you simplify 2 5/6 -2 5/22?

Aug 3, 2017

By some arrangement.

One can find $= \frac{20}{33}$

#### Explanation:

$\frac{17}{6} - \frac{49}{22}$

Expand the first term by 22 and the second by 6

$= \frac{374}{132} - \frac{294}{132} = \frac{374 - 294}{132} = \frac{80}{132} = \frac{20}{33}$

It is your answer $\frac{20}{33}$

Aug 3, 2017

$\frac{20}{33}$

#### Explanation:

Subtract the whole numbers first and then find the LCD of $6 \mathmr{and} 22$ and make equivalent fractions.

$2 \frac{5}{6} - 2 \frac{5}{22} \text{ } \leftarrow L C D = 66$

$= 0 \frac{55 - 15}{66}$

$= \frac{40}{66} \text{ } \leftarrow$ now simplify

$= \frac{20}{33}$