Basic Math Examples

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

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

Step 1

Cancel the common factor of

$2$ and

$12$ .

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Step 1.1

Factor

$2$ out of

$2$ .

$\frac{2 (1)}{12} + \frac{3}{4}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

$2$ out of

$12$ .

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

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

Step 2

To write

$\frac{1}{6}$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

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

Step 3

To write

$\frac{3}{4}$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

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

Step 4

Write each expression with a common denominator of

$12$ , by multiplying each by an appropriate factor of

$1$ .

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Step 4.1

Multiply

$\frac{1}{6}$ by

$\frac{2}{2}$ .

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

Step 4.2

Multiply

$6$ by

$2$ .

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

Step 4.3

Multiply

$\frac{3}{4}$ by

$\frac{3}{3}$ .

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

Step 4.4

Multiply

$4$ by

$3$ .

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

Step 5

Combine the numerators over the common denominator.

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

Step 6

Simplify the numerator.

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Step 6.1

Multiply

$3$ by

$3$ .

$\frac{2 + 9}{12}$

Step 6.2

Add

$2$ and

$9$ .

$\frac{11}{12}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{12}$

Decimal Form:

$0.91\overline{6}$