Basic Math Examples

3 \frac{3}{6}

$3 \frac{3}{6}$

Step 1

Convert

3 \frac{3}{6}

$3 \frac{3}{6}$ 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{3}{6}

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

Step 1.2

Add

3

$3$ and

\frac{3}{6}

$\frac{3}{6}$ .

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Step 1.2.1

To write

3

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

\frac{6}{6}

$\frac{6}{6}$ .

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

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

Step 1.2.2

Combine

3

$3$ and

\frac{6}{6}

$\frac{6}{6}$ .

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

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

Step 1.2.3

Combine the numerators over the common denominator.

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

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

3

$3$ by

6

$6$ .

\frac{18 + 3}{6}

$\frac{18 + 3}{6}$

Step 1.2.4.2

Add

18

$18$ and

3

$3$ .

\frac{21}{6}

$\frac{21}{6}$

\frac{21}{6}

$\frac{21}{6}$

\frac{21}{6}

$\frac{21}{6}$

\frac{21}{6}

$\frac{21}{6}$

Step 2

Cancel the common factor of

21

$21$ and

6

$6$ .

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Step 2.1

Factor

3

$3$ out of

21

$21$ .

\frac{3 (7)}{6}

$\frac{3 (7)}{6}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor

3

$3$ out of

6

$6$ .

\frac{3 \cdot 7}{3 \cdot 2}

$\frac{3 \cdot 7}{3 \cdot 2}$

Step 2.2.2

Cancel the common factor.

$\frac{3 \cdot 7}{3 \cdot 2}$

Step 2.2.3

Rewrite the expression.

$\frac{7}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{2}$

Decimal Form:

$3.5$

Mixed Number Form:

$3 \frac{1}{2}$