Write the Fraction in Simplest Form (5/14)÷(7/8)

$\frac{5}{14} \div \frac{7}{8}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{5}{14} \cdot \frac{8}{7}$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $14$ .

$\frac{5}{2 (7)} \cdot \frac{8}{7}$

Factor $2$ out of $8$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

Multiply $\frac{5}{7}$ by $\frac{4}{7}$ .

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

Step 4

Multiply $5$ by $4$ .

$\frac{20}{7 \cdot 7}$

Step 5

Multiply $7$ by $7$ .

$\frac{20}{49}$