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

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

Step 1

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

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

Step 2

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

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

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

Multiply $3$ by $2$ .

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

Step 3

Simplify the expression.

Combine the numerators over the common denominator.

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

Add $2$ and $1$ .

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

Step 4

Cancel the common factor of $3$ and $6$ .

Factor $3$ out of $3$ .

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

Cancel the common factors.

Factor $3$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 5

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

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

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

Multiply $2$ by $2$ .

$\frac{1}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$