Basic Math Examples

$12 \cdot 9 \frac{1}{2}$

Step 1

Convert

$9 \frac{1}{2}$ to an improper fraction.

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Step 1.1

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

$12 \cdot (9 + \frac{1}{2})$

Step 1.2

Add

$9$ and

$\frac{1}{2}$ .

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Step 1.2.1

To write

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

$\frac{2}{2}$ .

$12 \cdot (9 \cdot \frac{2}{2} + \frac{1}{2})$

Step 1.2.2

Combine

$9$ and

$\frac{2}{2}$ .

$12 \cdot (\frac{9 \cdot 2}{2} + \frac{1}{2})$

Step 1.2.3

Combine the numerators over the common denominator.

$12 \cdot \frac{9 \cdot 2 + 1}{2}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$9$ by

$2$ .

$12 \cdot \frac{18 + 1}{2}$

Step 1.2.4.2

Add

$18$ and

$1$ .

$12 \cdot \frac{19}{2}$

Step 2

Cancel the common factor of

$2$ .

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Step 2.1

Factor

$2$ out of

$12$ .

$2 (6) \cdot \frac{19}{2}$

Step 2.2

Cancel the common factor.

$2 \cdot 6 \cdot \frac{19}{2}$

Step 2.3

Rewrite the expression.

$6 \cdot 19$

Step 3

Multiply

$6$ by

$19$ .

$114$