Dividing by a Fraction

Example 1:

Divide $4$ by $\frac{2}{7}$ .

$\begin{array}{l}4÷\frac{2}{7}=4\times \frac{7}{2}\\ =\frac{4\times 7}{2}\\ =\frac{28}{2}\\ =14\end{array}$

Example 2:

Divide $\frac{3}{4}$ by $\frac{7}{8}$ .

$\begin{array}{l}\frac{3}{4}÷\frac{7}{8}=\frac{3}{4}\times \frac{8}{7}\\ =\frac{24}{28}\\ =\frac{6}{7}\end{array}$