Basic Math Examples

5 \frac{1}{6}

$5 \frac{1}{6}$

Step 1

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

5 + \frac{1}{6}

$5 + \frac{1}{6}$

Step 2

Add

5

$5$ and

\frac{1}{6}

$\frac{1}{6}$ .

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Step 2.1

To write

5

$5$ as a fraction with a common denominator, multiply by

\frac{6}{6}

$\frac{6}{6}$ .

5 \cdot \frac{6}{6} + \frac{1}{6}

$5 \cdot \frac{6}{6} + \frac{1}{6}$

Step 2.2

Combine

5

$5$ and

\frac{6}{6}

$\frac{6}{6}$ .

\frac{5 \cdot 6}{6} + \frac{1}{6}

$\frac{5 \cdot 6}{6} + \frac{1}{6}$

Step 2.3

Combine the numerators over the common denominator.

\frac{5 \cdot 6 + 1}{6}

$\frac{5 \cdot 6 + 1}{6}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

5

$5$ by

6

$6$ .

\frac{30 + 1}{6}

$\frac{30 + 1}{6}$

Step 2.4.2

Add

30

$30$ and

1

$1$ .

\frac{31}{6}

$\frac{31}{6}$

\frac{31}{6}

$\frac{31}{6}$

\frac{31}{6}

$\frac{31}{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{31}{6}

$\frac{31}{6}$

Decimal Form:

5.1 ¯ 6

$5.1\overline{6}$

Mixed Number Form:

5 \frac{1}{6}

$5 \frac{1}{6}$