Evaluate (7/12)/(5/9)

$\frac{\frac{7}{12}}{\frac{5}{9}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{7}{12} \cdot \frac{9}{5}$

Step 2

Cancel the common factor of $3$ .

Factor $3$ out of $12$ .

$\frac{7}{3 (4)} \cdot \frac{9}{5}$

Factor $3$ out of $9$ .

$\frac{7}{3 \cdot 4} \cdot \frac{3 \cdot 3}{5}$

Cancel the common factor.

$\frac{7}{3 \cdot 4} \cdot \frac{3 \cdot 3}{5}$

Rewrite the expression.

$\frac{7}{4} \cdot \frac{3}{5}$

Step 3

Multiply $\frac{7}{4}$ by $\frac{3}{5}$ .

$\frac{7 \cdot 3}{4 \cdot 5}$

Step 4

Multiply.

Multiply $7$ by $3$ .

$\frac{21}{4 \cdot 5}$

Multiply $4$ by $5$ .

$\frac{21}{20}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{21}{20}$

Decimal Form:

$1.05$

Mixed Number Form:

$1 \frac{1}{20}$