Question

Need help combining like terms to create an equivalent expression

Answer 1

Answer:

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

Explanation:

Given the expression:

$\frac{2}{5}m-\frac{4}{5}-\frac{3}{5}m$

In the expression:

$\frac{2}{5}m\text{ and }\frac{3}{5}m\text{ are like terms}$

Rearrange the expression to bring the like terms together:

$=\frac{2}{5}m-\frac{3}{5}m-\frac{4}{5}$

Next, combine the like terms:

$\begin{gathered} =\frac{2m-3m}{5}-\frac{4}{5} \\ =-\frac{m}{5}-\frac{4}{5} \end{gathered}$

An equivalent expression is:

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