Divide (4/7)÷(2/3)

$\frac{4}{7} \div \frac{2}{3}$

To divide by a fraction, multiply by its reciprocal.

$\frac{4}{7} \cdot \frac{3}{2}$

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$\frac{2 (2)}{7} \cdot \frac{3}{2}$

Cancel the common factor.

$\frac{2 \cdot 2}{7} \cdot \frac{3}{2}$

Rewrite the expression.

$\frac{2}{7} \cdot 3$

Combine $\frac{2}{7}$ and $3$ .

$\frac{2 \cdot 3}{7}$

Multiply $2$ by $3$ .

$\frac{6}{7}$

The result can be shown in multiple forms.

Exact Form:

$\frac{6}{7}$

Decimal Form:

$0.\overline{857142}$