How do you combine (3x) / 10 + (9x) / 10?

Jun 20, 2018

$\frac{6 x}{5}$

Here's how I did it:

Explanation:

$\frac{3 x}{10} + \frac{9 x}{10}$

Since both expressions contain the same denominator, that means we can combine the two expressions into one fraction:
$\frac{3 x + 9 x}{10}$

Since $3 x$ and $9 x$ are like terms, that means we can also combine/add them:
$\frac{12 x}{10}$

We can still simplify this by dividing both numerator and denominator by their greatest common factor (GCF), which is $2$:
$\frac{12 x}{10} \textcolor{b l u e}{\div \frac{2}{2}}$

$\frac{6 x}{5}$