Basic Math Examples

5 \frac{6}{7}

$5 \frac{6}{7}$

Step 1

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

5 + \frac{6}{7}

$5 + \frac{6}{7}$

Step 2

Add

5

$5$ and

\frac{6}{7}

$\frac{6}{7}$ .

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Step 2.1

To write

5

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

\frac{7}{7}

$\frac{7}{7}$ .

5 \cdot \frac{7}{7} + \frac{6}{7}

$5 \cdot \frac{7}{7} + \frac{6}{7}$

Step 2.2

Combine

5

$5$ and

\frac{7}{7}

$\frac{7}{7}$ .

\frac{5 \cdot 7}{7} + \frac{6}{7}

$\frac{5 \cdot 7}{7} + \frac{6}{7}$

Step 2.3

Combine the numerators over the common denominator.

\frac{5 \cdot 7 + 6}{7}

$\frac{5 \cdot 7 + 6}{7}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

5

$5$ by

7

$7$ .

\frac{35 + 6}{7}

$\frac{35 + 6}{7}$

Step 2.4.2

Add

35

$35$ and

6

$6$ .

\frac{41}{7}

$\frac{41}{7}$

\frac{41}{7}

$\frac{41}{7}$

\frac{41}{7}

$\frac{41}{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{41}{7}

$\frac{41}{7}$

Decimal Form:

5.\overline{857142}

$5.\overline{857142}$

Mixed Number Form:

5 \frac{6}{7}

$5 \frac{6}{7}$

5 \frac{6}{7}

$5 \frac{6}{7}$

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