# How do you simplify 1\frac{7}{8}\times 5\frac{1}{3}?

Dec 5, 2016

$1 \frac{7}{8} \times 5 \frac{1}{3} = 10$

#### Explanation:

$1 \frac{7}{8} \times 5 \frac{1}{3}$

= $\left(1 + \frac{7}{8}\right) \times \left(5 + \frac{1}{3}\right)$

= $\left(\frac{1 \times 8}{8} + \frac{7}{8}\right) \times \left(\frac{5 \times 3}{3} + \frac{1}{3}\right)$

= $\left(\frac{8}{8} + \frac{7}{8}\right) \times \left(\frac{15}{3} + \frac{1}{3}\right)$

= $\frac{8 + 7}{8} \times \frac{15 + 1}{3}$

= $\frac{15}{8} \times \frac{16}{3}$

= ${\cancel{15}}^{5} / {\cancel{8}}^{1} \times {\cancel{16}}^{2} / {\cancel{3}}^{1}$

= $5 \times 2$

= $10$