Pre-Algebra Examples

3 \frac{3}{8}

$3 \frac{3}{8}$

Step 1

A mixed number is an addition of its whole and fractional parts.

3 + \frac{3}{8}

$3 + \frac{3}{8}$

Step 2

Add

3

$3$ and

\frac{3}{8}

$\frac{3}{8}$ .

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Step 2.1

To write

3

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

\frac{8}{8}

$\frac{8}{8}$ .

3 \cdot \frac{8}{8} + \frac{3}{8}

$3 \cdot \frac{8}{8} + \frac{3}{8}$

Step 2.2

Combine

3

$3$ and

\frac{8}{8}

$\frac{8}{8}$ .

\frac{3 \cdot 8}{8} + \frac{3}{8}

$\frac{3 \cdot 8}{8} + \frac{3}{8}$

Step 2.3

Combine the numerators over the common denominator.

\frac{3 \cdot 8 + 3}{8}

$\frac{3 \cdot 8 + 3}{8}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

3

$3$ by

8

$8$ .

\frac{24 + 3}{8}

$\frac{24 + 3}{8}$

Step 2.4.2

Add

24

$24$ and

3

$3$ .

\frac{27}{8}

$\frac{27}{8}$

\frac{27}{8}

$\frac{27}{8}$

\frac{27}{8}

$\frac{27}{8}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{27}{8}

$\frac{27}{8}$

Decimal Form:

3.375

$3.375$

Mixed Number Form:

3 \frac{3}{8}

$3 \frac{3}{8}$

3 \frac{3}{8}

$3 \frac{3}{8}$

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