Evaluate (1/2+1/6)*1/3

$(\frac{1}{2} + \frac{1}{6}) \cdot \frac{1}{3}$

Step 1

To write $\frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$(\frac{1}{2} \cdot \frac{3}{3} + \frac{1}{6}) \cdot \frac{1}{3}$

Step 2

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{2}$ by $\frac{3}{3}$ .

$(\frac{3}{2 \cdot 3} + \frac{1}{6}) \cdot \frac{1}{3}$

Multiply $2$ by $3$ .

$(\frac{3}{6} + \frac{1}{6}) \cdot \frac{1}{3}$

Step 3

Simplify the expression.

Combine the numerators over the common denominator.

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

Add $3$ and $1$ .

$\frac{4}{6} \cdot \frac{1}{3}$

Step 4

Cancel the common factor of $4$ and $6$ .

Factor $2$ out of $4$ .

$\frac{2 (2)}{6} \cdot \frac{1}{3}$

Cancel the common factors.

Factor $2$ out of $6$ .

$\frac{2 \cdot 2}{2 \cdot 3} \cdot \frac{1}{3}$

Cancel the common factor.

$\frac{2 \cdot 2}{2 \cdot 3} \cdot \frac{1}{3}$

Rewrite the expression.

$\frac{2}{3} \cdot \frac{1}{3}$

Step 5

Multiply $\frac{2}{3} \cdot \frac{1}{3}$ .

Multiply $\frac{2}{3}$ by $\frac{1}{3}$ .

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

Multiply $3$ by $3$ .

$\frac{2}{9}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{9}$

Decimal Form:

$0.\overline{2}$