Basic Math Examples

8 - 6 \frac{5}{6}

$8 - 6 \frac{5}{6}$

Step 1

Convert

6 \frac{5}{6}

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

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Step 1.1

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

8 - (6 + \frac{5}{6})

$8 - (6 + \frac{5}{6})$

Step 1.2

Add

6

$6$ and

\frac{5}{6}

$\frac{5}{6}$ .

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Step 1.2.1

To write

6

$6$ as a fraction with a common denominator, multiply by

\frac{6}{6}

$\frac{6}{6}$ .

8 - (6 \cdot \frac{6}{6} + \frac{5}{6})

$8 - (6 \cdot \frac{6}{6} + \frac{5}{6})$

Step 1.2.2

Combine

6

$6$ and

\frac{6}{6}

$\frac{6}{6}$ .

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

$8 - (\frac{6 \cdot 6}{6} + \frac{5}{6})$

Step 1.2.3

Combine the numerators over the common denominator.

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

$8 - \frac{6 \cdot 6 + 5}{6}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

6

$6$ by

6

$6$ .

8 - \frac{36 + 5}{6}

$8 - \frac{36 + 5}{6}$

Step 1.2.4.2

Add

36

$36$ and

5

$5$ .

8 - \frac{41}{6}

$8 - \frac{41}{6}$

8 - \frac{41}{6}

$8 - \frac{41}{6}$

8 - \frac{41}{6}

$8 - \frac{41}{6}$

8 - \frac{41}{6}

$8 - \frac{41}{6}$

Step 2

To write

8

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

\frac{6}{6}

$\frac{6}{6}$ .

8 \cdot \frac{6}{6} - \frac{41}{6}

$8 \cdot \frac{6}{6} - \frac{41}{6}$

Step 3

Combine

8

$8$ and

\frac{6}{6}

$\frac{6}{6}$ .

\frac{8 \cdot 6}{6} - \frac{41}{6}

$\frac{8 \cdot 6}{6} - \frac{41}{6}$

Step 4

Combine the numerators over the common denominator.

\frac{8 \cdot 6 - 41}{6}

$\frac{8 \cdot 6 - 41}{6}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

8

$8$ by

6

$6$ .

\frac{48 - 41}{6}

$\frac{48 - 41}{6}$

Step 5.2

Subtract

41

$41$ from

48

$48$ .

\frac{7}{6}

$\frac{7}{6}$

\frac{7}{6}

$\frac{7}{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{7}{6}

$\frac{7}{6}$

Decimal Form:

1.1 ¯ 6

$1.1\overline{6}$

Mixed Number Form:

1 \frac{1}{6}

$1 \frac{1}{6}$