Basic Math Examples

$\frac{15}{10} + 12$

Step 1

Cancel the common factor of

$15$ and

$10$ .

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Step 1.1

Factor

$5$ out of

$15$ .

$\frac{5 (3)}{10} + 12$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

$5$ out of

$10$ .

$\frac{5 \cdot 3}{5 \cdot 2} + 12$

Step 1.2.2

Cancel the common factor.

$\frac{5 \cdot 3}{5 \cdot 2} + 12$

Step 1.2.3

Rewrite the expression.

$\frac{3}{2} + 12$

Step 2

To write

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

$\frac{2}{2}$ .

$\frac{3}{2} + 12 \cdot \frac{2}{2}$

Step 3

Combine

$12$ and

$\frac{2}{2}$ .

$\frac{3}{2} + \frac{12 \cdot 2}{2}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 + 12 \cdot 2}{2}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$12$ by

$2$ .

$\frac{3 + 24}{2}$

Step 5.2

Add

$3$ and

$24$ .

$\frac{27}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{27}{2}$

Decimal Form:

$13.5$

Mixed Number Form:

$13 \frac{1}{2}$