Evaluate (5/6)/(3/4)

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

Step 1

Multiply the numerator by the reciprocal of the denominator.

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

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $6$ .

$\frac{5}{2 (3)} \cdot \frac{4}{3}$

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

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

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

Step 4

Multiply.

Multiply $5$ by $2$ .

$\frac{10}{3 \cdot 3}$

Multiply $3$ by $3$ .

$\frac{10}{9}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{10}{9}$

Decimal Form:

$1.\overline{1}$

Mixed Number Form:

$1 \frac{1}{9}$