# How do you solve \frac { 4} { 15} + \frac { 5} { 12}?

Nov 12, 2016

$\frac{41}{60}$

#### Explanation:

The lowest common denominator is 60.
60 is the lowest number both 15 and 12 will go into

So $\frac{4}{15} + \frac{5}{12} = \left(\frac{4}{15} \times \frac{4}{4}\right) + \left(\frac{5}{12} \times \frac{5}{5}\right)$

= $\frac{16}{60} + \frac{25}{60} = \frac{41}{60}$

If you cannot spot the lowest common denominator then.

So $\frac{4}{15} + \frac{5}{12} = \left(\frac{4}{15} \times \frac{12}{12}\right) + \left(\frac{5}{12} \times \frac{15}{15}\right)$

= $\frac{48}{180} + \frac{75}{180} = \frac{123}{180}$

Cancel/ divide numerator and denominator by 3 to give answer.