Basic Math Examples

7 \frac{5}{6}

$7 \frac{5}{6}$

Step 1

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

7 + \frac{5}{6}

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

Step 2

Add

7

$7$ and

\frac{5}{6}

$\frac{5}{6}$ .

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Step 2.1

To write

7

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

\frac{6}{6}

$\frac{6}{6}$ .

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

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

Step 2.2

Combine

7

$7$ and

\frac{6}{6}

$\frac{6}{6}$ .

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

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

Step 2.3

Combine the numerators over the common denominator.

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

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

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

7

$7$ by

6

$6$ .

\frac{42 + 5}{6}

$\frac{42 + 5}{6}$

Step 2.4.2

Add

42

$42$ and

5

$5$ .

\frac{47}{6}

$\frac{47}{6}$

\frac{47}{6}

$\frac{47}{6}$

\frac{47}{6}

$\frac{47}{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{47}{6}

$\frac{47}{6}$

Decimal Form:

7.8 ¯ 3

$7.8\overline{3}$

Mixed Number Form:

7 \frac{5}{6}

$7 \frac{5}{6}$