# How do you solve 1/5 + x=7/12?

Apr 15, 2016

$x = \frac{23}{60}$

#### Explanation:

The $\left(\frac{1}{5}\right)$ is positive, so its passed to the other side as negative:
$x = \frac{7}{12} - \frac{1}{5}$

Then, you should take the minimum between $5$ and $12$:
$x = 5 \cdot \frac{7}{60} - 12 \cdot \frac{1}{60}$
$x = \frac{35 - 12}{60}$
$x = \frac{23}{60}$

Since 23 is a prime number, the fraction can't be more simplified than that.