Pre-Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $2$ and $12$ .

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Step 1.1.1

Factor $2$ out of $2$ .

$\frac{2 (1)}{12} + \frac{2}{4}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $2$ out of $12$ .

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

Step 1.1.2.2

Cancel the common factor.

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

Step 1.1.2.3

Rewrite the expression.

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

Step 1.2

Cancel the common factor of $2$ and $4$ .

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Step 1.2.1

Factor $2$ out of $2$ .

$\frac{1}{6} + \frac{2 (1)}{4}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $2$ out of $4$ .

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

Step 1.2.2.2

Cancel the common factor.

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

Step 1.2.2.3

Rewrite the expression.

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

Step 2

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

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

Step 3.2

Multiply $2$ by $3$ .

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

Step 4

Simplify the expression.

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Step 4.1

Combine the numerators over the common denominator.

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

Step 4.2

Add $1$ and $3$ .

$\frac{4}{6}$

Step 5

Cancel the common factor of $4$ and $6$ .

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Step 5.1

Factor $2$ out of $4$ .

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

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $2$ out of $6$ .

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

Step 5.2.2

Cancel the common factor.

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

Step 5.2.3

Rewrite the expression.

$\frac{2}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$