Basic Math Examples

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

Step 1

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

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

Step 2

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

Tap for more steps...

Step 2.1

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

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

Step 2.2

Multiply $2$ by $3$ .

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

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Combine the numerators over the common denominator.

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

Step 3.2

Subtract $3$ from $1$ .

$\frac{- 2}{6}$

Step 4

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

Tap for more steps...

Step 4.1

Factor $2$ out of $- 2$ .

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

Step 4.2

Cancel the common factors.

Tap for more steps...

Step 4.2.1

Factor $2$ out of $6$ .

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

Step 4.2.2

Cancel the common factor.

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

Step 4.2.3

Rewrite the expression.

$\frac{- 1}{3}$

Step 5

Move the negative in front of the fraction.

$- \frac{1}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{3}$

Decimal Form:

$- 0.\overline{3}$