Basic Math Examples

7 \frac{9}{7}

$7 \frac{9}{7}$

Step 1

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

7 + \frac{9}{7}

$7 + \frac{9}{7}$

Step 2

Add

7

$7$ and

\frac{9}{7}

$\frac{9}{7}$ .

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Step 2.1

To write

7

$7$ as a fraction with a common denominator, multiply by

\frac{7}{7}

$\frac{7}{7}$ .

7 \cdot \frac{7}{7} + \frac{9}{7}

$7 \cdot \frac{7}{7} + \frac{9}{7}$

Step 2.2

Combine

7

$7$ and

\frac{7}{7}

$\frac{7}{7}$ .

\frac{7 \cdot 7}{7} + \frac{9}{7}

$\frac{7 \cdot 7}{7} + \frac{9}{7}$

Step 2.3

Combine the numerators over the common denominator.

\frac{7 \cdot 7 + 9}{7}

$\frac{7 \cdot 7 + 9}{7}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

7

$7$ by

7

$7$ .

\frac{49 + 9}{7}

$\frac{49 + 9}{7}$

Step 2.4.2

Add

49

$49$ and

9

$9$ .

\frac{58}{7}

$\frac{58}{7}$

\frac{58}{7}

$\frac{58}{7}$

\frac{58}{7}

$\frac{58}{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{58}{7}

$\frac{58}{7}$

Decimal Form:

8. ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ 285714

$8.\overline{285714}$

Mixed Number Form:

8 \frac{2}{7}

$8 \frac{2}{7}$