Basic Math Examples

$8 \frac{9}{12}$

Step 1

Convert

$8 \frac{9}{12}$ to an improper fraction.

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Step 1.1

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

$8 + \frac{9}{12}$

Step 1.2

Add

$8$ and

$\frac{9}{12}$ .

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Step 1.2.1

To write

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

$\frac{12}{12}$ .

$8 \cdot \frac{12}{12} + \frac{9}{12}$

Step 1.2.2

Combine

$8$ and

$\frac{12}{12}$ .

$\frac{8 \cdot 12}{12} + \frac{9}{12}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{8 \cdot 12 + 9}{12}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$8$ by

$12$ .

$\frac{96 + 9}{12}$

Step 1.2.4.2

Add

$96$ and

$9$ .

$\frac{105}{12}$

Step 2

Cancel the common factor of

$105$ and

$12$ .

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Step 2.1

Factor

$3$ out of

$105$ .

$\frac{3 (35)}{12}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor

$3$ out of

$12$ .

$\frac{3 \cdot 35}{3 \cdot 4}$

Step 2.2.2

Cancel the common factor.

$\frac{3 \cdot 35}{3 \cdot 4}$

Step 2.2.3

Rewrite the expression.

$\frac{35}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{35}{4}$

Decimal Form:

$8.75$

Mixed Number Form:

$8 \frac{3}{4}$