Pre-Algebra Examples

$x - \frac{5}{6} = \frac{1}{3}$

Step 1

Add $\frac{5}{6}$ to both sides of the equation.

$x = \frac{1}{3} + \frac{5}{6}$

Step 2

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

$x = \frac{1}{3} \cdot \frac{2}{2} + \frac{5}{6}$

Step 3

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

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Step 3.1

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

$x = \frac{2}{3 \cdot 2} + \frac{5}{6}$

Step 3.2

Multiply $3$ by $2$ .

$x = \frac{2}{6} + \frac{5}{6}$

Step 4

Combine the numerators over the common denominator.

$x = \frac{2 + 5}{6}$

Step 5

Add $2$ and $5$ .

$x = \frac{7}{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{7}{6}$

Decimal Form:

$x = 1.1\overline{6}$

Mixed Number Form:

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