Basic Math Examples

9 \frac{2}{6} - 6 \frac{5}{6}

$9 \frac{2}{6} - 6 \frac{5}{6}$

Step 1

Convert

9 \frac{2}{6}

$9 \frac{2}{6}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

9 + \frac{2}{6} - 6 \frac{5}{6}

$9 + \frac{2}{6} - 6 \frac{5}{6}$

Step 1.2

Add

9

$9$ and

\frac{2}{6}

$\frac{2}{6}$ .

Tap for more steps...

Step 1.2.1

To write

9

$9$ as a fraction with a common denominator, multiply by

\frac{6}{6}

$\frac{6}{6}$ .

9 \cdot \frac{6}{6} + \frac{2}{6} - 6 \frac{5}{6}

$9 \cdot \frac{6}{6} + \frac{2}{6} - 6 \frac{5}{6}$

Step 1.2.2

Combine

9

$9$ and

\frac{6}{6}

$\frac{6}{6}$ .

\frac{9 \cdot 6}{6} + \frac{2}{6} - 6 \frac{5}{6}

$\frac{9 \cdot 6}{6} + \frac{2}{6} - 6 \frac{5}{6}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{9 \cdot 6 + 2}{6} - 6 \frac{5}{6}

$\frac{9 \cdot 6 + 2}{6} - 6 \frac{5}{6}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

9

$9$ by

6

$6$ .

\frac{54 + 2}{6} - 6 \frac{5}{6}

$\frac{54 + 2}{6} - 6 \frac{5}{6}$

Step 1.2.4.2

Add

54

$54$ and

2

$2$ .

\frac{56}{6} - 6 \frac{5}{6}

$\frac{56}{6} - 6 \frac{5}{6}$

\frac{56}{6} - 6 \frac{5}{6}

$\frac{56}{6} - 6 \frac{5}{6}$

\frac{56}{6} - 6 \frac{5}{6}

$\frac{56}{6} - 6 \frac{5}{6}$

\frac{56}{6} - 6 \frac{5}{6}

$\frac{56}{6} - 6 \frac{5}{6}$

Step 2

Convert

6 \frac{5}{6}

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

Tap for more steps...

Step 2.1

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

\frac{56}{6} - (6 + \frac{5}{6})

$\frac{56}{6} - (6 + \frac{5}{6})$

Step 2.2

Add

6

$6$ and

\frac{5}{6}

$\frac{5}{6}$ .

Tap for more steps...

Step 2.2.1

To write

6

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

\frac{6}{6}

$\frac{6}{6}$ .

\frac{56}{6} - (6 \cdot \frac{6}{6} + \frac{5}{6})

$\frac{56}{6} - (6 \cdot \frac{6}{6} + \frac{5}{6})$

Step 2.2.2

Combine

6

$6$ and

\frac{6}{6}

$\frac{6}{6}$ .

\frac{56}{6} - (\frac{6 \cdot 6}{6} + \frac{5}{6})

$\frac{56}{6} - (\frac{6 \cdot 6}{6} + \frac{5}{6})$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{56}{6} - \frac{6 \cdot 6 + 5}{6}

$\frac{56}{6} - \frac{6 \cdot 6 + 5}{6}$

Step 2.2.4

Simplify the numerator.

Tap for more steps...

Step 2.2.4.1

Multiply

6

$6$ by

6

$6$ .

\frac{56}{6} - \frac{36 + 5}{6}

$\frac{56}{6} - \frac{36 + 5}{6}$

Step 2.2.4.2

Add

36

$36$ and

5

$5$ .

\frac{56}{6} - \frac{41}{6}

$\frac{56}{6} - \frac{41}{6}$

\frac{56}{6} - \frac{41}{6}

$\frac{56}{6} - \frac{41}{6}$

\frac{56}{6} - \frac{41}{6}

$\frac{56}{6} - \frac{41}{6}$

\frac{56}{6} - \frac{41}{6}

$\frac{56}{6} - \frac{41}{6}$

Step 3

Combine the numerators over the common denominator.

\frac{56 - 41}{6}

$\frac{56 - 41}{6}$

Step 4

Subtract

41

$41$ from

56

$56$ .

\frac{15}{6}

$\frac{15}{6}$

Step 5

Cancel the common factor of

15

$15$ and

6

$6$ .

Tap for more steps...

Step 5.1

Factor

3

$3$ out of

15

$15$ .

\frac{3 (5)}{6}

$\frac{3 (5)}{6}$

Step 5.2

Cancel the common factors.

Tap for more steps...

Step 5.2.1

Factor

3

$3$ out of

6

$6$ .

\frac{3 \cdot 5}{3 \cdot 2}

$\frac{3 \cdot 5}{3 \cdot 2}$

Step 5.2.2

Cancel the common factor.

$\frac{3 \cdot 5}{3 \cdot 2}$

Step 5.2.3

Rewrite the expression.

$\frac{5}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{2}$

Decimal Form:

$2.5$

Mixed Number Form:

$2 \frac{1}{2}$