Evaluate 1/2-1/6

$\frac{1}{2} - \frac{1}{6}$

Step 1

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

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

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 $\frac{3}{3}$ .

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

Multiply $2$ by $3$ .

$\frac{3}{6} - \frac{1}{6}$

Step 3

Simplify the expression.

Combine the numerators over the common denominator.

$\frac{3 - 1}{6}$

Subtract $1$ from $3$ .

$\frac{2}{6}$

Step 4

Cancel the common factor of $2$ and $6$ .

Factor $2$ out of $2$ .

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

Cancel the common factors.

Factor $2$ out of $6$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$