Basic Math Examples

6 \frac{8}{12}

$6 \frac{8}{12}$

Step 1

Convert

6 \frac{8}{12}

$6 \frac{8}{12}$ to an improper fraction.

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Step 1.1

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

6 + \frac{8}{12}

$6 + \frac{8}{12}$

Step 1.2

Add

6

$6$ and

\frac{8}{12}

$\frac{8}{12}$ .

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Step 1.2.1

To write

6

$6$ as a fraction with a common denominator, multiply by

\frac{12}{12}

$\frac{12}{12}$ .

6 \cdot \frac{12}{12} + \frac{8}{12}

$6 \cdot \frac{12}{12} + \frac{8}{12}$

Step 1.2.2

Combine

6

$6$ and

\frac{12}{12}

$\frac{12}{12}$ .

\frac{6 \cdot 12}{12} + \frac{8}{12}

$\frac{6 \cdot 12}{12} + \frac{8}{12}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{6 \cdot 12 + 8}{12}

$\frac{6 \cdot 12 + 8}{12}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

6

$6$ by

12

$12$ .

\frac{72 + 8}{12}

$\frac{72 + 8}{12}$

Step 1.2.4.2

Add

72

$72$ and

8

$8$ .

\frac{80}{12}

$\frac{80}{12}$

\frac{80}{12}

$\frac{80}{12}$

\frac{80}{12}

$\frac{80}{12}$

\frac{80}{12}

$\frac{80}{12}$

Step 2

Cancel the common factor of

80

$80$ and

12

$12$ .

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Step 2.1

Factor

4

$4$ out of

80

$80$ .

\frac{4 (20)}{12}

$\frac{4 (20)}{12}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor

4

$4$ out of

12

$12$ .

\frac{4 \cdot 20}{4 \cdot 3}

$\frac{4 \cdot 20}{4 \cdot 3}$

Step 2.2.2

Cancel the common factor.

$\frac{4 \cdot 20}{4 \cdot 3}$

Step 2.2.3

Rewrite the expression.

$\frac{20}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{20}{3}$

Decimal Form:

$6.\overline{6}$

Mixed Number Form:

$6 \frac{2}{3}$