Basic Math Examples

8 \frac{1}{2}

$8 \frac{1}{2}$

Step 1

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

8 + \frac{1}{2}

$8 + \frac{1}{2}$

Step 2

Add

8

$8$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 2.1

To write

8

$8$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

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

$8 \cdot \frac{2}{2} + \frac{1}{2}$

Step 2.2

Combine

8

$8$ and

\frac{2}{2}

$\frac{2}{2}$ .

\frac{8 \cdot 2}{2} + \frac{1}{2}

$\frac{8 \cdot 2}{2} + \frac{1}{2}$

Step 2.3

Combine the numerators over the common denominator.

\frac{8 \cdot 2 + 1}{2}

$\frac{8 \cdot 2 + 1}{2}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

8

$8$ by

2

$2$ .

\frac{16 + 1}{2}

$\frac{16 + 1}{2}$

Step 2.4.2

Add

16

$16$ and

1

$1$ .

\frac{17}{2}

$\frac{17}{2}$

\frac{17}{2}

$\frac{17}{2}$

\frac{17}{2}

$\frac{17}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{17}{2}

$\frac{17}{2}$

Decimal Form:

8.5

$8.5$

Mixed Number Form:

8 \frac{1}{2}

$8 \frac{1}{2}$