Simplify ((4x)/7)÷(2/21)

$\frac{4 x}{7} \div \frac{2}{21}$

To divide by a fraction, multiply by its reciprocal.

$\frac{4 x}{7} \cdot \frac{21}{2}$

Cancel the common factor of $2$ .

Factor $2$ out of $4 x$ .

$\frac{2 (2 x)}{7} \cdot \frac{21}{2}$

Cancel the common factor.

$\frac{2 (2 x)}{7} \cdot \frac{21}{2}$

Rewrite the expression.

$\frac{2 x}{7} \cdot 21$

Cancel the common factor of $7$ .

Factor $7$ out of $21$ .

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

Cancel the common factor.

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

Rewrite the expression.

$2 x \cdot 3$

Multiply $3$ by $2$ .

$6 x$