Basic Math Examples

$\frac{2}{6} + \frac{2}{12}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of

$2$ and

$6$ .

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Step 1.1.1

Factor

$2$ out of

$2$ .

$\frac{2 (1)}{6} + \frac{2}{12}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor

$2$ out of

$6$ .

$\frac{2 \cdot 1}{2 \cdot 3} + \frac{2}{12}$

Step 1.1.2.2

Cancel the common factor.

$\frac{2 \cdot 1}{2 \cdot 3} + \frac{2}{12}$

Step 1.1.2.3

Rewrite the expression.

$\frac{1}{3} + \frac{2}{12}$

Step 1.2

Cancel the common factor of

$2$ and

$12$ .

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Step 1.2.1

Factor

$2$ out of

$2$ .

$\frac{1}{3} + \frac{2 (1)}{12}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor

$2$ out of

$12$ .

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

Step 1.2.2.2

Cancel the common factor.

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

Step 1.2.2.3

Rewrite the expression.

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

Step 2

To write

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

$\frac{2}{2}$ .

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

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

$\frac{2}{2}$ .

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

Step 3.2

Multiply

$3$ by

$2$ .

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

Step 4

Simplify the expression.

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Step 4.1

Combine the numerators over the common denominator.

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

Step 4.2

Add

$2$ and

$1$ .

$\frac{3}{6}$

Step 5

Cancel the common factor of

$3$ and

$6$ .

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Step 5.1

Factor

$3$ out of

$3$ .

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

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor

$3$ out of

$6$ .

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

Step 5.2.2

Cancel the common factor.

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

Step 5.2.3

Rewrite the expression.

$\frac{1}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$