# What is 2/3 times 7/8?

Dec 5, 2016

$\frac{14}{24}$ or $\frac{7}{12}$

#### Explanation:

To solve this following the rules for multiplying fractions you multiply the numerators and the denominators:

$\frac{2}{3} \times \frac{7}{8} \to \frac{2 \times 7}{3 \times 8} \to \frac{14}{24}$

This can be simplified by:

$\frac{14}{24} \to \left(\frac{2}{2}\right) \times \left(\frac{7}{12}\right) \to 1 \times \frac{7}{12} \to \frac{7}{12}$

Simplifying is often easier if the like factors are cancelled first:

${\cancel{2}}^{1} / 3 \times \frac{7}{\cancel{8}} ^ 4 \text{ } \leftarrow$ 2 is a factor of 2 and 8

This gives the final answer immediately as

$\frac{7}{12}$