Pre-Algebra Examples

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

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

Step 1

To write

\frac{1}{3}

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

\frac{4}{4}

$\frac{4}{4}$ .

\frac{1}{3} \cdot \frac{4}{4} + \frac{1}{4}

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

Step 2

To write

\frac{1}{4}

$\frac{1}{4}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{1}{3} \cdot \frac{4}{4} + \frac{1}{4} \cdot \frac{3}{3}

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

Step 3

Write each expression with a common denominator of

12

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

1

$1$ .

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Step 3.1

Multiply

\frac{1}{3}

$\frac{1}{3}$ by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{4}{3 \cdot 4} + \frac{1}{4} \cdot \frac{3}{3}

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

Step 3.2

Multiply

3

$3$ by

4

$4$ .

\frac{4}{12} + \frac{1}{4} \cdot \frac{3}{3}

$\frac{4}{12} + \frac{1}{4} \cdot \frac{3}{3}$

Step 3.3

Multiply

\frac{1}{4}

$\frac{1}{4}$ by

\frac{3}{3}

$\frac{3}{3}$ .

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

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

Step 3.4

Multiply

4

$4$ by

3

$3$ .

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

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

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

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

Step 4

Combine the numerators over the common denominator.

\frac{4 + 3}{12}

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

Step 5

Add

4

$4$ and

3

$3$ .

\frac{7}{12}

$\frac{7}{12}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{7}{12}

$\frac{7}{12}$

Decimal Form:

0.58\overline{3}

$0.58\overline{3}$

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