Pre-Algebra Examples

$\frac{1}{4} + \frac{1}{3} + \frac{1}{6}$

Step 1

Find the common denominator.

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Step 1.1

Multiply $\frac{1}{4}$ by $\frac{3}{3}$ .

$\frac{1}{4} \cdot \frac{3}{3} + \frac{1}{3} + \frac{1}{6}$

Step 1.2

Multiply $\frac{1}{4}$ by $\frac{3}{3}$ .

$\frac{3}{4 \cdot 3} + \frac{1}{3} + \frac{1}{6}$

Step 1.3

Multiply $\frac{1}{3}$ by $\frac{4}{4}$ .

$\frac{3}{4 \cdot 3} + \frac{1}{3} \cdot \frac{4}{4} + \frac{1}{6}$

Step 1.4

Multiply $\frac{1}{3}$ by $\frac{4}{4}$ .

$\frac{3}{4 \cdot 3} + \frac{4}{3 \cdot 4} + \frac{1}{6}$

Step 1.5

Multiply $\frac{1}{6}$ by $\frac{2}{2}$ .

$\frac{3}{4 \cdot 3} + \frac{4}{3 \cdot 4} + \frac{1}{6} \cdot \frac{2}{2}$

Step 1.6

Multiply $\frac{1}{6}$ by $\frac{2}{2}$ .

$\frac{3}{4 \cdot 3} + \frac{4}{3 \cdot 4} + \frac{2}{6 \cdot 2}$

Step 1.7

Reorder the factors of $4 \cdot 3$ .

$\frac{3}{3 \cdot 4} + \frac{4}{3 \cdot 4} + \frac{2}{6 \cdot 2}$

Step 1.8

Multiply $3$ by $4$ .

$\frac{3}{12} + \frac{4}{3 \cdot 4} + \frac{2}{6 \cdot 2}$

Step 1.9

Multiply $3$ by $4$ .

$\frac{3}{12} + \frac{4}{12} + \frac{2}{6 \cdot 2}$

Step 1.10

Reorder the factors of $6 \cdot 2$ .

$\frac{3}{12} + \frac{4}{12} + \frac{2}{2 \cdot 6}$

Step 1.11

Multiply $2$ by $6$ .

$\frac{3}{12} + \frac{4}{12} + \frac{2}{12}$

Step 2

Combine the numerators over the common denominator.

$\frac{3 + 4 + 2}{12}$

Step 3

Simplify by adding numbers.

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Step 3.1

Add $3$ and $4$ .

$\frac{7 + 2}{12}$

Step 3.2

Add $7$ and $2$ .

$\frac{9}{12}$

Step 4

Cancel the common factor of $9$ and $12$ .

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Step 4.1

Factor $3$ out of $9$ .

$\frac{3 (3)}{12}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $3$ out of $12$ .

$\frac{3 \cdot 3}{3 \cdot 4}$

Step 4.2.2

Cancel the common factor.

$\frac{3 \cdot 3}{3 \cdot 4}$

Step 4.2.3

Rewrite the expression.

$\frac{3}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{4}$

Decimal Form:

$0.75$