# How do you evaluate 3 5/8 + 3 5/8?

Sep 10, 2016

$3 \frac{5}{8} = 3 + \frac{5}{8} = 7 \frac{1}{4}$

#### Explanation:

$3 \frac{5}{8} = 3 + \frac{5}{8} = \frac{3}{1} + \frac{5}{8} = \frac{3 \times 8}{1 \times 8} + \frac{5}{8}$

= $\frac{24}{8} + \frac{5}{8} = \frac{29}{8}$

Hence $3 \frac{5}{8} + 3 \frac{5}{8}$

= $\frac{29}{8} + \frac{29}{8}$

= $\frac{58}{8}$

= $\frac{\left(8 \times 7\right) + 2}{8}$

= $\frac{8 \times 7}{8} + \frac{2}{8}$

= $\frac{8 \times 7}{8 \times 1} + \frac{\cancel{2} \times 1}{\cancel{2} \times 4}$

= $7 \frac{1}{4}$