Basic Math Examples

5 \frac{20}{9}

$5 \frac{20}{9}$

Step 1

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

5 + \frac{20}{9}

$5 + \frac{20}{9}$

Step 2

Add

5

$5$ and

\frac{20}{9}

$\frac{20}{9}$ .

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Step 2.1

To write

5

$5$ as a fraction with a common denominator, multiply by

\frac{9}{9}

$\frac{9}{9}$ .

5 \cdot \frac{9}{9} + \frac{20}{9}

$5 \cdot \frac{9}{9} + \frac{20}{9}$

Step 2.2

Combine

5

$5$ and

\frac{9}{9}

$\frac{9}{9}$ .

\frac{5 \cdot 9}{9} + \frac{20}{9}

$\frac{5 \cdot 9}{9} + \frac{20}{9}$

Step 2.3

Combine the numerators over the common denominator.

\frac{5 \cdot 9 + 20}{9}

$\frac{5 \cdot 9 + 20}{9}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

5

$5$ by

9

$9$ .

\frac{45 + 20}{9}

$\frac{45 + 20}{9}$

Step 2.4.2

Add

45

$45$ and

20

$20$ .

\frac{65}{9}

$\frac{65}{9}$

\frac{65}{9}

$\frac{65}{9}$

\frac{65}{9}

$\frac{65}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{65}{9}

$\frac{65}{9}$

Decimal Form:

7. ¯ 2

$7.\overline{2}$

Mixed Number Form:

7 \frac{2}{9}

$7 \frac{2}{9}$