Basic Math Examples

3 \frac{8}{9}

$3 \frac{8}{9}$

Step 1

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

3 + \frac{8}{9}

$3 + \frac{8}{9}$

Step 2

Add

3

$3$ and

\frac{8}{9}

$\frac{8}{9}$ .

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Step 2.1

To write

3

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

\frac{9}{9}

$\frac{9}{9}$ .

3 \cdot \frac{9}{9} + \frac{8}{9}

$3 \cdot \frac{9}{9} + \frac{8}{9}$

Step 2.2

Combine

3

$3$ and

\frac{9}{9}

$\frac{9}{9}$ .

\frac{3 \cdot 9}{9} + \frac{8}{9}

$\frac{3 \cdot 9}{9} + \frac{8}{9}$

Step 2.3

Combine the numerators over the common denominator.

\frac{3 \cdot 9 + 8}{9}

$\frac{3 \cdot 9 + 8}{9}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

3

$3$ by

9

$9$ .

\frac{27 + 8}{9}

$\frac{27 + 8}{9}$

Step 2.4.2

Add

27

$27$ and

8

$8$ .

\frac{35}{9}

$\frac{35}{9}$

\frac{35}{9}

$\frac{35}{9}$

\frac{35}{9}

$\frac{35}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{35}{9}

$\frac{35}{9}$

Decimal Form:

3. ¯ 8

$3.\overline{8}$

Mixed Number Form:

3 \frac{8}{9}

$3 \frac{8}{9}$