Evaluate (2/3)/(5/6)

$\frac{\frac{2}{3}}{\frac{5}{6}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

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

Step 2

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

$2 (\frac{2}{5})$

Step 3

Combine $2$ and $\frac{2}{5}$ .

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

Step 4

Multiply $2$ by $2$ .

$\frac{4}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{5}$

Decimal Form:

$0.8$