Basic Math Examples

7 \frac{1}{2}

$7 \frac{1}{2}$

Step 1

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

7 + \frac{1}{2}

$7 + \frac{1}{2}$

Step 2

Add

7

$7$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 2.1

To write

7

$7$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

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

$7 \cdot \frac{2}{2} + \frac{1}{2}$

Step 2.2

Combine

7

$7$ and

\frac{2}{2}

$\frac{2}{2}$ .

\frac{7 \cdot 2}{2} + \frac{1}{2}

$\frac{7 \cdot 2}{2} + \frac{1}{2}$

Step 2.3

Combine the numerators over the common denominator.

\frac{7 \cdot 2 + 1}{2}

$\frac{7 \cdot 2 + 1}{2}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

7

$7$ by

2

$2$ .

\frac{14 + 1}{2}

$\frac{14 + 1}{2}$

Step 2.4.2

Add

14

$14$ and

1

$1$ .

\frac{15}{2}

$\frac{15}{2}$

\frac{15}{2}

$\frac{15}{2}$

\frac{15}{2}

$\frac{15}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{15}{2}

$\frac{15}{2}$

Decimal Form:

7.5

$7.5$

Mixed Number Form:

7 \frac{1}{2}

$7 \frac{1}{2}$