Basic Math Examples

6 \frac{4}{9}

$6 \frac{4}{9}$

Step 1

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

6 + \frac{4}{9}

$6 + \frac{4}{9}$

Step 2

Add

6

$6$ and

\frac{4}{9}

$\frac{4}{9}$ .

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Step 2.1

To write

6

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

\frac{9}{9}

$\frac{9}{9}$ .

6 \cdot \frac{9}{9} + \frac{4}{9}

$6 \cdot \frac{9}{9} + \frac{4}{9}$

Step 2.2

Combine

6

$6$ and

\frac{9}{9}

$\frac{9}{9}$ .

\frac{6 \cdot 9}{9} + \frac{4}{9}

$\frac{6 \cdot 9}{9} + \frac{4}{9}$

Step 2.3

Combine the numerators over the common denominator.

\frac{6 \cdot 9 + 4}{9}

$\frac{6 \cdot 9 + 4}{9}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

6

$6$ by

9

$9$ .

\frac{54 + 4}{9}

$\frac{54 + 4}{9}$

Step 2.4.2

Add

54

$54$ and

4

$4$ .

\frac{58}{9}

$\frac{58}{9}$

\frac{58}{9}

$\frac{58}{9}$

\frac{58}{9}

$\frac{58}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{58}{9}

$\frac{58}{9}$

Decimal Form:

6. ¯ 4

$6.\overline{4}$

Mixed Number Form:

6 \frac{4}{9}

$6 \frac{4}{9}$