Evaluate 1/3*5/6-2/9

$\frac{1}{3} \cdot \frac{5}{6} - \frac{2}{9}$

Multiply $\frac{1}{3} \cdot \frac{5}{6}$ .

Multiply $\frac{1}{3}$ by $\frac{5}{6}$ .

$\frac{5}{3 \cdot 6} - \frac{2}{9}$

Multiply $3$ by $6$ .

$\frac{5}{18} - \frac{2}{9}$

To write $- \frac{2}{9}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{5}{18} - \frac{2}{9} \cdot \frac{2}{2}$

Write each expression with a common denominator of $18$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{2}{9}$ by $\frac{2}{2}$ .

$\frac{5}{18} - \frac{2 \cdot 2}{9 \cdot 2}$

Multiply $9$ by $2$ .

$\frac{5}{18} - \frac{2 \cdot 2}{18}$

Combine the numerators over the common denominator.

$\frac{5 - 2 \cdot 2}{18}$

Simplify the numerator.

Multiply $- 2$ by $2$ .

$\frac{5 - 4}{18}$

Subtract $4$ from $5$ .

$\frac{1}{18}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{18}$

Decimal Form:

$0.0\overline{5}$