Write the Fraction in Simplest Form (9/16)÷(7/10)

$\frac{9}{16} \div \frac{7}{10}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{9}{16} \cdot \frac{10}{7}$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $16$ .

$\frac{9}{2 (8)} \cdot \frac{10}{7}$

Factor $2$ out of $10$ .

$\frac{9}{2 \cdot 8} \cdot \frac{2 \cdot 5}{7}$

Cancel the common factor.

$\frac{9}{2 \cdot 8} \cdot \frac{2 \cdot 5}{7}$

Rewrite the expression.

$\frac{9}{8} \cdot \frac{5}{7}$

Step 3

Multiply $\frac{9}{8}$ by $\frac{5}{7}$ .

$\frac{9 \cdot 5}{8 \cdot 7}$

Step 4

Multiply $9$ by $5$ .

$\frac{45}{8 \cdot 7}$

Step 5

Multiply $8$ by $7$ .

$\frac{45}{56}$