Basic Math Examples

8 + 6 \frac{2}{3}

$8 + 6 \frac{2}{3}$

Step 1

Convert

6 \frac{2}{3}

$6 \frac{2}{3}$ to an improper fraction.

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Step 1.1

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

8 + 6 + \frac{2}{3}

$8 + 6 + \frac{2}{3}$

Step 1.2

Add

6

$6$ and

\frac{2}{3}

$\frac{2}{3}$ .

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Step 1.2.1

To write

6

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

\frac{3}{3}

$\frac{3}{3}$ .

8 + 6 \cdot \frac{3}{3} + \frac{2}{3}

$8 + 6 \cdot \frac{3}{3} + \frac{2}{3}$

Step 1.2.2

Combine

6

$6$ and

\frac{3}{3}

$\frac{3}{3}$ .

8 + \frac{6 \cdot 3}{3} + \frac{2}{3}

$8 + \frac{6 \cdot 3}{3} + \frac{2}{3}$

Step 1.2.3

Combine the numerators over the common denominator.

8 + \frac{6 \cdot 3 + 2}{3}

$8 + \frac{6 \cdot 3 + 2}{3}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

6

$6$ by

3

$3$ .

8 + \frac{18 + 2}{3}

$8 + \frac{18 + 2}{3}$

Step 1.2.4.2

Add

18

$18$ and

2

$2$ .

8 + \frac{20}{3}

$8 + \frac{20}{3}$

8 + \frac{20}{3}

$8 + \frac{20}{3}$

8 + \frac{20}{3}

$8 + \frac{20}{3}$

8 + \frac{20}{3}

$8 + \frac{20}{3}$

Step 2

To write

8

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

\frac{3}{3}

$\frac{3}{3}$ .

8 \cdot \frac{3}{3} + \frac{20}{3}

$8 \cdot \frac{3}{3} + \frac{20}{3}$

Step 3

Combine

8

$8$ and

\frac{3}{3}

$\frac{3}{3}$ .

\frac{8 \cdot 3}{3} + \frac{20}{3}

$\frac{8 \cdot 3}{3} + \frac{20}{3}$

Step 4

Combine the numerators over the common denominator.

\frac{8 \cdot 3 + 20}{3}

$\frac{8 \cdot 3 + 20}{3}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

8

$8$ by

3

$3$ .

\frac{24 + 20}{3}

$\frac{24 + 20}{3}$

Step 5.2

Add

24

$24$ and

20

$20$ .

\frac{44}{3}

$\frac{44}{3}$

\frac{44}{3}

$\frac{44}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{44}{3}

$\frac{44}{3}$

Decimal Form:

14. ¯ 6

$14.\overline{6}$

Mixed Number Form:

14 \frac{2}{3}

$14 \frac{2}{3}$