# How do you solve x + 3/8 = 5/12?

Feb 13, 2016

$x = \frac{1}{24}$

#### Explanation:

Least common denominator = 24

$x \cdot \left(\frac{24}{24}\right) + \frac{3}{8} \cdot \left(\frac{3}{3}\right) = \frac{5}{12} \cdot \left(\frac{2}{2}\right)$

"All denominations are"

$24 x + 9 = 10$

"Subtract 9 from both sides"

$24 x = 1$

"Divide both sides by 24"

$x = \frac{1}{24}$