Simplify (4/7)/(2/7)

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

Step 1

Multiply the numerator by the reciprocal of the denominator.

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

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

Cancel the common factor of $7$ .

Cancel the common factor.

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

Rewrite the expression.

$2$