Evaluate 5/9*1/2+1/6

$\frac{5}{9} \cdot \frac{1}{2} + \frac{1}{6}$

Multiply $\frac{5}{9} \cdot \frac{1}{2}$ .

Multiply $\frac{5}{9}$ by $\frac{1}{2}$ .

$\frac{5}{9 \cdot 2} + \frac{1}{6}$

Multiply $9$ by $2$ .

$\frac{5}{18} + \frac{1}{6}$

To write $\frac{1}{6}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{5}{18} + \frac{1}{6} \cdot \frac{3}{3}$

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

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

$\frac{5}{18} + \frac{3}{6 \cdot 3}$

Multiply $6$ by $3$ .

$\frac{5}{18} + \frac{3}{18}$

Simplify the expression.

Combine the numerators over the common denominator.

$\frac{5 + 3}{18}$

Add $5$ and $3$ .

$\frac{8}{18}$

Cancel the common factor of $8$ and $18$ .

Factor $2$ out of $8$ .

$\frac{2 (4)}{18}$

Cancel the common factors.

Factor $2$ out of $18$ .

$\frac{2 \cdot 4}{2 \cdot 9}$

Cancel the common factor.

$\frac{2 \cdot 4}{2 \cdot 9}$

Rewrite the expression.

$\frac{4}{9}$

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{9}$

Decimal Form:

$0.\overline{4}$