Pre-Algebra Examples

\frac{1}{3} + \frac{13}{12}

$\frac{1}{3} + \frac{13}{12}$

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{13}{12}

$\frac{1}{3} \cdot \frac{4}{4} + \frac{13}{12}$

Step 2

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 2.1

Multiply

\frac{1}{3}

$\frac{1}{3}$ by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{4}{3 \cdot 4} + \frac{13}{12}

$\frac{4}{3 \cdot 4} + \frac{13}{12}$

Step 2.2

Multiply

3

$3$ by

4

$4$ .

\frac{4}{12} + \frac{13}{12}

$\frac{4}{12} + \frac{13}{12}$

\frac{4}{12} + \frac{13}{12}

$\frac{4}{12} + \frac{13}{12}$

Step 3

Combine the numerators over the common denominator.

\frac{4 + 13}{12}

$\frac{4 + 13}{12}$

Step 4

Add

4

$4$ and

13

$13$ .

\frac{17}{12}

$\frac{17}{12}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{17}{12}

$\frac{17}{12}$

Decimal Form:

1.41\overline{6}

$1.41\overline{6}$

Mixed Number Form:

1 \frac{5}{12}

$1 \frac{5}{12}$