Pre-Algebra Examples

\frac{5}{3} + 3

$\frac{5}{3} + 3$

Step 1

To write

3

$3$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{5}{3} + 3 \cdot \frac{3}{3}

$\frac{5}{3} + 3 \cdot \frac{3}{3}$

Step 2

Combine

3

$3$ and

\frac{3}{3}

$\frac{3}{3}$ .

\frac{5}{3} + \frac{3 \cdot 3}{3}

$\frac{5}{3} + \frac{3 \cdot 3}{3}$

Step 3

Combine the numerators over the common denominator.

\frac{5 + 3 \cdot 3}{3}

$\frac{5 + 3 \cdot 3}{3}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

3

$3$ by

3

$3$ .

\frac{5 + 9}{3}

$\frac{5 + 9}{3}$

Step 4.2

Add

5

$5$ and

9

$9$ .

\frac{14}{3}

$\frac{14}{3}$

\frac{14}{3}

$\frac{14}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{14}{3}

$\frac{14}{3}$

Decimal Form:

4. ¯ 6

$4.\overline{6}$

Mixed Number Form:

4 \frac{2}{3}

$4 \frac{2}{3}$

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