Write the Fraction in Simplest Form (7/12)÷(2/9)

$\frac{7}{12} \div \frac{2}{9}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{7}{12} \cdot \frac{9}{2}$

Step 2

Cancel the common factor of $3$ .

Factor $3$ out of $12$ .

$\frac{7}{3 (4)} \cdot \frac{9}{2}$

Factor $3$ out of $9$ .

$\frac{7}{3 \cdot 4} \cdot \frac{3 \cdot 3}{2}$

Cancel the common factor.

$\frac{7}{3 \cdot 4} \cdot \frac{3 \cdot 3}{2}$

Rewrite the expression.

$\frac{7}{4} \cdot \frac{3}{2}$

Step 3

Multiply $\frac{7}{4}$ by $\frac{3}{2}$ .

$\frac{7 \cdot 3}{4 \cdot 2}$

Step 4

Multiply $7$ by $3$ .

$\frac{21}{4 \cdot 2}$

Step 5

Multiply $4$ by $2$ .

$\frac{21}{8}$