Basic Math Examples

3 \frac{6}{9}

$3 \frac{6}{9}$

Step 1

Convert

3 \frac{6}{9}

$3 \frac{6}{9}$ to an improper fraction.

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Step 1.1

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

3 + \frac{6}{9}

$3 + \frac{6}{9}$

Step 1.2

Add

3

$3$ and

\frac{6}{9}

$\frac{6}{9}$ .

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Step 1.2.1

To write

3

$3$ as a fraction with a common denominator, multiply by

\frac{9}{9}

$\frac{9}{9}$ .

3 \cdot \frac{9}{9} + \frac{6}{9}

$3 \cdot \frac{9}{9} + \frac{6}{9}$

Step 1.2.2

Combine

3

$3$ and

\frac{9}{9}

$\frac{9}{9}$ .

\frac{3 \cdot 9}{9} + \frac{6}{9}

$\frac{3 \cdot 9}{9} + \frac{6}{9}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{3 \cdot 9 + 6}{9}

$\frac{3 \cdot 9 + 6}{9}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

3

$3$ by

9

$9$ .

\frac{27 + 6}{9}

$\frac{27 + 6}{9}$

Step 1.2.4.2

Add

27

$27$ and

6

$6$ .

\frac{33}{9}

$\frac{33}{9}$

\frac{33}{9}

$\frac{33}{9}$

\frac{33}{9}

$\frac{33}{9}$

\frac{33}{9}

$\frac{33}{9}$

Step 2

Cancel the common factor of

33

$33$ and

9

$9$ .

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Step 2.1

Factor

3

$3$ out of

33

$33$ .

\frac{3 (11)}{9}

$\frac{3 (11)}{9}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor

3

$3$ out of

9

$9$ .

\frac{3 \cdot 11}{3 \cdot 3}

$\frac{3 \cdot 11}{3 \cdot 3}$

Step 2.2.2

Cancel the common factor.

$\frac{3 \cdot 11}{3 \cdot 3}$

Step 2.2.3

Rewrite the expression.

$\frac{11}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{3}$

Decimal Form:

$3.\overline{6}$

Mixed Number Form:

$3 \frac{2}{3}$