# How do you evaluate x + y for x= 4/5 and y=7/10?

Jun 12, 2015

$x + y = \frac{4}{5} + \frac{7}{10} = \frac{8}{10} + \frac{7}{10} = \frac{15}{10} = \frac{3}{2}$

#### Explanation:

To add fractions, you first need to give them common denominators, then just add the numerators...

$x + y = \frac{4}{5} + \frac{7}{10}$

$= \frac{2}{2} \cdot \frac{4}{5} + \frac{7}{10}$

$= \frac{2 \cdot 4}{2 \cdot 5} + \frac{7}{10}$

$= \frac{8}{10} + \frac{7}{10}$

$= \frac{15}{10}$

$= \frac{3 \cdot 5}{2 \cdot 5}$

$= \frac{3}{2} \cdot \frac{5}{5}$

$= \frac{3}{2}$