Algebra Examples

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

Step 1

Add $\frac{1}{3}$ to both sides of the equation.

$x = \frac{1}{6} + \frac{1}{3}$

Step 2

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

$x = \frac{1}{6} + \frac{1}{3} \cdot \frac{2}{2}$

Step 3

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

Tap for more steps...

Step 3.1

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

$x = \frac{1}{6} + \frac{2}{3 \cdot 2}$

Step 3.2

Multiply $3$ by $2$ .

$x = \frac{1}{6} + \frac{2}{6}$

Step 4

Combine the numerators over the common denominator.

$x = \frac{1 + 2}{6}$

Step 5

Add $1$ and $2$ .

$x = \frac{3}{6}$

Step 6

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

Tap for more steps...

Step 6.1

Factor $3$ out of $3$ .

$x = \frac{3 (1)}{6}$

Step 6.2

Cancel the common factors.

Tap for more steps...

Step 6.2.1

Factor $3$ out of $6$ .

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

Step 6.2.2

Cancel the common factor.

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

Step 6.2.3

Rewrite the expression.

$x = \frac{1}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{2}$

Decimal Form:

$x = 0.5$