Pre-Algebra Examples

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

Step 1

Find the common denominator.

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Step 1.1

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

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

Step 1.2

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

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

Step 1.3

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

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

Step 1.4

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

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

Step 1.5

Multiply $2$ by $3$ .

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

Step 1.6

Reorder the factors of $3 \cdot 2$ .

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

Step 1.7

Multiply $2$ by $3$ .

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

Simplify the expression.

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Step 3.1

Add $3$ and $2$ .

$\frac{5 + 1}{6}$

Step 3.2

Add $5$ and $1$ .

$\frac{6}{6}$

Step 3.3

Divide $6$ by $6$ .

$1$