Basic Math Examples

8 \frac{1}{9}

$8 \frac{1}{9}$

Step 1

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

8 + \frac{1}{9}

$8 + \frac{1}{9}$

Step 2

Add

8

$8$ and

\frac{1}{9}

$\frac{1}{9}$ .

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Step 2.1

To write

8

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

\frac{9}{9}

$\frac{9}{9}$ .

8 \cdot \frac{9}{9} + \frac{1}{9}

$8 \cdot \frac{9}{9} + \frac{1}{9}$

Step 2.2

Combine

8

$8$ and

\frac{9}{9}

$\frac{9}{9}$ .

\frac{8 \cdot 9}{9} + \frac{1}{9}

$\frac{8 \cdot 9}{9} + \frac{1}{9}$

Step 2.3

Combine the numerators over the common denominator.

\frac{8 \cdot 9 + 1}{9}

$\frac{8 \cdot 9 + 1}{9}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

8

$8$ by

9

$9$ .

\frac{72 + 1}{9}

$\frac{72 + 1}{9}$

Step 2.4.2

Add

72

$72$ and

1

$1$ .

\frac{73}{9}

$\frac{73}{9}$

\frac{73}{9}

$\frac{73}{9}$

\frac{73}{9}

$\frac{73}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{73}{9}

$\frac{73}{9}$

Decimal Form:

8. ¯ 1

$8.\overline{1}$

Mixed Number Form:

8 \frac{1}{9}

$8 \frac{1}{9}$