Simplify (3/4)/(5/6)

$\frac{\frac{3}{4}}{\frac{5}{6}}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{3}{4} \cdot \frac{6}{5}$

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$\frac{3}{2 (2)} \cdot \frac{6}{5}$

Factor $2$ out of $6$ .

$\frac{3}{2 \cdot 2} \cdot \frac{2 \cdot 3}{5}$

Cancel the common factor.

$\frac{3}{2 \cdot 2} \cdot \frac{2 \cdot 3}{5}$

Rewrite the expression.

$\frac{3}{2} \cdot \frac{3}{5}$

Multiply $\frac{3}{2}$ by $\frac{3}{5}$ .

$\frac{3 \cdot 3}{2 \cdot 5}$

Multiply.

Multiply $3$ by $3$ .

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

Multiply $2$ by $5$ .

$\frac{9}{10}$

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{10}$

Decimal Form:

$0.9$