Basic Math Examples

3 \frac{5}{8}

$3 \frac{5}{8}$

Step 1

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

3 + \frac{5}{8}

$3 + \frac{5}{8}$

Step 2

Add

3

$3$ and

\frac{5}{8}

$\frac{5}{8}$ .

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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{5}{8}

$3 \cdot \frac{8}{8} + \frac{5}{8}$

Step 2.2

Combine

3

$3$ and

\frac{8}{8}

$\frac{8}{8}$ .

\frac{3 \cdot 8}{8} + \frac{5}{8}

$\frac{3 \cdot 8}{8} + \frac{5}{8}$

Step 2.3

Combine the numerators over the common denominator.

\frac{3 \cdot 8 + 5}{8}

$\frac{3 \cdot 8 + 5}{8}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

3

$3$ by

8

$8$ .

\frac{24 + 5}{8}

$\frac{24 + 5}{8}$

Step 2.4.2

Add

24

$24$ and

5

$5$ .

\frac{29}{8}

$\frac{29}{8}$

\frac{29}{8}

$\frac{29}{8}$

\frac{29}{8}

$\frac{29}{8}$