Basic Math Examples

10 \frac{2}{3}

$10 \frac{2}{3}$

Step 1

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

10 + \frac{2}{3}

$10 + \frac{2}{3}$

Step 2

Add

10

$10$ and

\frac{2}{3}

$\frac{2}{3}$ .

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Step 2.1

To write

10

$10$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

10 \cdot \frac{3}{3} + \frac{2}{3}

$10 \cdot \frac{3}{3} + \frac{2}{3}$

Step 2.2

Combine

10

$10$ and

\frac{3}{3}

$\frac{3}{3}$ .

\frac{10 \cdot 3}{3} + \frac{2}{3}

$\frac{10 \cdot 3}{3} + \frac{2}{3}$

Step 2.3

Combine the numerators over the common denominator.

\frac{10 \cdot 3 + 2}{3}

$\frac{10 \cdot 3 + 2}{3}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

10

$10$ by

3

$3$ .

\frac{30 + 2}{3}

$\frac{30 + 2}{3}$

Step 2.4.2

Add

30

$30$ and

2

$2$ .

\frac{32}{3}

$\frac{32}{3}$

\frac{32}{3}

$\frac{32}{3}$

\frac{32}{3}

$\frac{32}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{32}{3}

$\frac{32}{3}$

Decimal Form:

10. ¯ 6

$10.\overline{6}$

Mixed Number Form:

10 \frac{2}{3}

$10 \frac{2}{3}$