# How do you simplify 26 9/10 + 72 5/6?

Jun 11, 2016

$26 \frac{9}{10} + 72 \frac{5}{6} = 99 \frac{11}{15}$

#### Explanation:

$26 \frac{9}{10} + 72 \frac{5}{6}$

= $26 + \frac{9}{10} + 72 + \frac{5}{6}$

= $26 + 72 + \frac{9}{10} + \frac{5}{6}$

= $98 + \frac{9}{10} + \frac{5}{6}$

Now as the LCD of denominators $10$ and $6$ is $30$, we can write this as

$98 + \frac{9 \times 3}{10 \times 3} + \frac{5 \times 5}{6 \times 5}$

= $98 + \frac{27}{30} + \frac{25}{30}$

= $98 + \frac{27 + 25}{30}$

= $98 + \frac{52}{30} = 98 + \frac{30 + 22}{30}$

= $98 + \frac{30}{30} + \frac{22}{30}$

= $98 + 1 + \frac{11}{15}$

= $99 \frac{11}{15}$