Basic Math Examples

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

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 $2$ .

$\frac{2 (1)}{12} + \frac{4}{6}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $2$ out of $12$ .

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

Step 1.1.2.2

Cancel the common factor.

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

Step 1.1.2.3

Rewrite the expression.

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

Step 1.2

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

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Step 1.2.1

Factor $2$ out of $4$ .

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

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $2$ out of $6$ .

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

Step 1.2.2.2

Cancel the common factor.

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

Step 1.2.2.3

Rewrite the expression.

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

Step 2

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

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

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

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

Step 3.2

Multiply $3$ by $2$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply $2$ by $2$ .

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

Step 5.2

Add $1$ and $4$ .

$\frac{5}{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{6}$

Decimal Form:

$0.8\overline{3}$