Write the Fraction in Simplest Form (7/10)÷(5/16)

$\frac{7}{10} \div \frac{5}{16}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{7}{10} \cdot \frac{16}{5}$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $10$ .

$\frac{7}{2 (5)} \cdot \frac{16}{5}$

Factor $2$ out of $16$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

Multiply $\frac{7}{5}$ by $\frac{8}{5}$ .

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

Step 4

Multiply $7$ by $8$ .

$\frac{56}{5 \cdot 5}$

Step 5

Multiply $5$ by $5$ .

$\frac{56}{25}$