Pre-Algebra Examples

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

Step 1

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 2

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 3

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

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

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

Step 3.2

Multiply $6$ by $2$ .

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

Step 3.3

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

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

Step 3.4

Multiply $4$ by $3$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply $3$ by $3$ .

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

Step 5.2

Add $2$ and $9$ .

$\frac{11}{12}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{12}$

Decimal Form:

$0.91\overline{6}$

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