Divide (4/8)÷(5/7)

$\frac{4}{8} \div \frac{5}{7}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{4}{8} \cdot \frac{7}{5}$

Step 2

Cancel the common factor of $4$ and $8$ .

Factor $4$ out of $4$ .

$\frac{4 (1)}{8} \cdot \frac{7}{5}$

Cancel the common factors.

Factor $4$ out of $8$ .

$\frac{4 \cdot 1}{4 \cdot 2} \cdot \frac{7}{5}$

Cancel the common factor.

$\frac{4 \cdot 1}{4 \cdot 2} \cdot \frac{7}{5}$

Rewrite the expression.

$\frac{1}{2} \cdot \frac{7}{5}$

Step 3

Multiply $\frac{1}{2} \cdot \frac{7}{5}$ .

Multiply $\frac{1}{2}$ by $\frac{7}{5}$ .

$\frac{7}{2 \cdot 5}$

Multiply $2$ by $5$ .

$\frac{7}{10}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{10}$

Decimal Form:

$0.7$