Basic Math Examples

32 \frac{1}{6}

$32 \frac{1}{6}$

Step 1

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

32 + \frac{1}{6}

$32 + \frac{1}{6}$

Step 2

Add

32

$32$ and

\frac{1}{6}

$\frac{1}{6}$ .

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Step 2.1

To write

32

$32$ as a fraction with a common denominator, multiply by

\frac{6}{6}

$\frac{6}{6}$ .

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

$32 \cdot \frac{6}{6} + \frac{1}{6}$

Step 2.2

Combine

32

$32$ and

\frac{6}{6}

$\frac{6}{6}$ .

\frac{32 \cdot 6}{6} + \frac{1}{6}

$\frac{32 \cdot 6}{6} + \frac{1}{6}$

Step 2.3

Combine the numerators over the common denominator.

\frac{32 \cdot 6 + 1}{6}

$\frac{32 \cdot 6 + 1}{6}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

32

$32$ by

6

$6$ .

\frac{192 + 1}{6}

$\frac{192 + 1}{6}$

Step 2.4.2

Add

192

$192$ and

1

$1$ .

\frac{193}{6}

$\frac{193}{6}$

\frac{193}{6}

$\frac{193}{6}$

\frac{193}{6}

$\frac{193}{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{193}{6}

$\frac{193}{6}$

Decimal Form:

32.1 ¯ 6

$32.1\overline{6}$

Mixed Number Form:

32 \frac{1}{6}

$32 \frac{1}{6}$