Basic Math Examples

12 \frac{1}{2} \cdot \frac{1}{2}

$12 \frac{1}{2} \cdot \frac{1}{2}$

Step 1

Convert

12 \frac{1}{2}

$12 \frac{1}{2}$ to an improper fraction.

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Step 1.1

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

(12 + \frac{1}{2}) \cdot \frac{1}{2}

$(12 + \frac{1}{2}) \cdot \frac{1}{2}$

Step 1.2

Add

12

$12$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 1.2.1

To write

12

$12$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

(12 \cdot \frac{2}{2} + \frac{1}{2}) \cdot \frac{1}{2}

$(12 \cdot \frac{2}{2} + \frac{1}{2}) \cdot \frac{1}{2}$

Step 1.2.2

Combine

12

$12$ and

\frac{2}{2}

$\frac{2}{2}$ .

(\frac{12 \cdot 2}{2} + \frac{1}{2}) \cdot \frac{1}{2}

$(\frac{12 \cdot 2}{2} + \frac{1}{2}) \cdot \frac{1}{2}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{12 \cdot 2 + 1}{2} \cdot \frac{1}{2}

$\frac{12 \cdot 2 + 1}{2} \cdot \frac{1}{2}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

12

$12$ by

2

$2$ .

\frac{24 + 1}{2} \cdot \frac{1}{2}

$\frac{24 + 1}{2} \cdot \frac{1}{2}$

Step 1.2.4.2

Add

24

$24$ and

1

$1$ .

$\frac{25}{2} \cdot \frac{1}{2}$

Step 2

Multiply

$\frac{25}{2} \cdot \frac{1}{2}$ .

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Step 2.1

Multiply

$\frac{25}{2}$ by

$\frac{1}{2}$ .

$\frac{25}{2 \cdot 2}$

Step 2.2

Multiply

$2$ by

$2$ .

$\frac{25}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{4}$

Decimal Form:

$6.25$

Mixed Number Form:

$6 \frac{1}{4}$