# How do you combine like terms to simplify the expression 7/8m + 9/10 - 2m-3/5?

Apr 3, 2017

See the entire solution process below:

#### Explanation:

First, group like terms:

$\frac{7}{8} m - 2 m + \frac{9}{10} - \frac{3}{5}$

Next, put the $m$ terms and the constants over common denominators by multiplying by the appropriate form of $1$ to allow the terms to be added and subtracted:

$\frac{7}{8} m - \left(\frac{8}{8} \times 2 m\right) + \frac{9}{10} - \left(\frac{2}{2} \times \frac{3}{5}\right)$

$\frac{7}{8} m - \frac{16}{8} m + \frac{9}{10} - \frac{6}{10}$

$\left(\frac{7}{8} - \frac{16}{8}\right) m + \left(\frac{9}{10} - \frac{6}{10}\right)$

$- \frac{9}{8} m + \frac{3}{10}$