# How do you simplify (2x+4)/10?

Apr 19, 2017

See the entire solution process below:

#### Explanation:

One way to simplify this expression is:

$\frac{2 x + 4}{10} \implies \frac{2 x}{10} + \frac{4}{10} \implies \frac{2 x}{2 \times 5} + \frac{2 \times 2}{2 \times 5} \implies$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} x}{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} \times 5} + \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} \times 2}{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} \times 5} \implies \frac{x}{5} + \frac{2}{5}$

Another way to simplify is;

$\frac{2 x + 4}{10} \implies \frac{2 \left(x + 2\right)}{2 \times 5} \implies \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} \left(x + 2\right)}{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} \times 5} \implies \frac{x + 2}{5}$