Basic Math Examples

9 \frac{1}{2}

$9 \frac{1}{2}$

Step 1

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

9 + \frac{1}{2}

$9 + \frac{1}{2}$

Step 2

Add

9

$9$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 2.1

To write

9

$9$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

9 \cdot \frac{2}{2} + \frac{1}{2}

$9 \cdot \frac{2}{2} + \frac{1}{2}$

Step 2.2

Combine

9

$9$ and

\frac{2}{2}

$\frac{2}{2}$ .

\frac{9 \cdot 2}{2} + \frac{1}{2}

$\frac{9 \cdot 2}{2} + \frac{1}{2}$

Step 2.3

Combine the numerators over the common denominator.

\frac{9 \cdot 2 + 1}{2}

$\frac{9 \cdot 2 + 1}{2}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

9

$9$ by

2

$2$ .

\frac{18 + 1}{2}

$\frac{18 + 1}{2}$

Step 2.4.2

Add

18

$18$ and

1

$1$ .

\frac{19}{2}

$\frac{19}{2}$

\frac{19}{2}

$\frac{19}{2}$

\frac{19}{2}

$\frac{19}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{19}{2}

$\frac{19}{2}$

Decimal Form:

9.5

$9.5$

Mixed Number Form:

9 \frac{1}{2}

$9 \frac{1}{2}$