Basic Math Examples

3 \frac{6}{8}

$3 \frac{6}{8}$

Step 1

Convert

3 \frac{6}{8}

$3 \frac{6}{8}$ 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}{8}

$3 + \frac{6}{8}$

Step 1.2

Add

3

$3$ and

\frac{6}{8}

$\frac{6}{8}$ .

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Step 1.2.1

To write

3

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

\frac{8}{8}

$\frac{8}{8}$ .

3 \cdot \frac{8}{8} + \frac{6}{8}

$3 \cdot \frac{8}{8} + \frac{6}{8}$

Step 1.2.2

Combine

3

$3$ and

\frac{8}{8}

$\frac{8}{8}$ .

\frac{3 \cdot 8}{8} + \frac{6}{8}

$\frac{3 \cdot 8}{8} + \frac{6}{8}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{3 \cdot 8 + 6}{8}

$\frac{3 \cdot 8 + 6}{8}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

3

$3$ by

8

$8$ .

\frac{24 + 6}{8}

$\frac{24 + 6}{8}$

Step 1.2.4.2

Add

24

$24$ and

6

$6$ .

\frac{30}{8}

$\frac{30}{8}$

\frac{30}{8}

$\frac{30}{8}$

\frac{30}{8}

$\frac{30}{8}$

\frac{30}{8}

$\frac{30}{8}$

Step 2

Cancel the common factor of

30

$30$ and

8

$8$ .

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Step 2.1

Factor

2

$2$ out of

30

$30$ .

\frac{2 (15)}{8}

$\frac{2 (15)}{8}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor

2

$2$ out of

8

$8$ .

\frac{2 \cdot 15}{2 \cdot 4}

$\frac{2 \cdot 15}{2 \cdot 4}$

Step 2.2.2

Cancel the common factor.

$\frac{2 \cdot 15}{2 \cdot 4}$

Step 2.2.3

Rewrite the expression.

$\frac{15}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{15}{4}$

Decimal Form:

$3.75$

Mixed Number Form:

$3 \frac{3}{4}$