Basic Math Examples

12 - 5 \frac{5}{6}

$12 - 5 \frac{5}{6}$

Step 1

Convert

5 \frac{5}{6}

$5 \frac{5}{6}$ to an improper fraction.

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Step 1.1

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

12 - (5 + \frac{5}{6})

$12 - (5 + \frac{5}{6})$

Step 1.2

Add

5

$5$ and

\frac{5}{6}

$\frac{5}{6}$ .

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Step 1.2.1

To write

5

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

\frac{6}{6}

$\frac{6}{6}$ .

12 - (5 \cdot \frac{6}{6} + \frac{5}{6})

$12 - (5 \cdot \frac{6}{6} + \frac{5}{6})$

Step 1.2.2

Combine

5

$5$ and

\frac{6}{6}

$\frac{6}{6}$ .

12 - (\frac{5 \cdot 6}{6} + \frac{5}{6})

$12 - (\frac{5 \cdot 6}{6} + \frac{5}{6})$

Step 1.2.3

Combine the numerators over the common denominator.

12 - \frac{5 \cdot 6 + 5}{6}

$12 - \frac{5 \cdot 6 + 5}{6}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

5

$5$ by

6

$6$ .

12 - \frac{30 + 5}{6}

$12 - \frac{30 + 5}{6}$

Step 1.2.4.2

Add

30

$30$ and

5

$5$ .

12 - \frac{35}{6}

$12 - \frac{35}{6}$

12 - \frac{35}{6}

$12 - \frac{35}{6}$

12 - \frac{35}{6}

$12 - \frac{35}{6}$

12 - \frac{35}{6}

$12 - \frac{35}{6}$

Step 2

To write

12

$12$ as a fraction with a common denominator, multiply by

\frac{6}{6}

$\frac{6}{6}$ .

12 \cdot \frac{6}{6} - \frac{35}{6}

$12 \cdot \frac{6}{6} - \frac{35}{6}$

Step 3

Combine

12

$12$ and

\frac{6}{6}

$\frac{6}{6}$ .

\frac{12 \cdot 6}{6} - \frac{35}{6}

$\frac{12 \cdot 6}{6} - \frac{35}{6}$

Step 4

Combine the numerators over the common denominator.

\frac{12 \cdot 6 - 35}{6}

$\frac{12 \cdot 6 - 35}{6}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

12

$12$ by

6

$6$ .

\frac{72 - 35}{6}

$\frac{72 - 35}{6}$

Step 5.2

Subtract

35

$35$ from

72

$72$ .

\frac{37}{6}

$\frac{37}{6}$

\frac{37}{6}

$\frac{37}{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{37}{6}

$\frac{37}{6}$

Decimal Form:

6.1\overline{6}

$6.1\overline{6}$

Mixed Number Form:

6 \frac{1}{6}

$6 \frac{1}{6}$