Basic Math Examples

$- \frac{11}{6} - \frac{9}{2} - \frac{11}{6}$

Step 1

Combine fractions.

Tap for more steps...

Step 1.1

Combine the numerators over the common denominator.

$\frac{- 11 - 11}{6} + \frac{- 9}{2}$

Step 1.2

Subtract $11$ from $- 11$ .

$\frac{- 22}{6} + \frac{- 9}{2}$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Cancel the common factor of $- 22$ and $6$ .

Tap for more steps...

Step 2.1.1

Factor $2$ out of $- 22$ .

$\frac{2 (- 11)}{6} + \frac{- 9}{2}$

Step 2.1.2

Cancel the common factors.

Tap for more steps...

Step 2.1.2.1

Factor $2$ out of $6$ .

$\frac{2 \cdot - 11}{2 \cdot 3} + \frac{- 9}{2}$

Step 2.1.2.2

Cancel the common factor.

$\frac{2 \cdot - 11}{2 \cdot 3} + \frac{- 9}{2}$

Step 2.1.2.3

Rewrite the expression.

$\frac{- 11}{3} + \frac{- 9}{2}$

Step 2.2

Move the negative in front of the fraction.

$- \frac{11}{3} + \frac{- 9}{2}$

Step 2.3

Move the negative in front of the fraction.

$- \frac{11}{3} - \frac{9}{2}$

Step 3

To write $- \frac{11}{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{11}{3} \cdot \frac{2}{2} - \frac{9}{2}$

Step 4

To write $- \frac{9}{2}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- \frac{11}{3} \cdot \frac{2}{2} - \frac{9}{2} \cdot \frac{3}{3}$

Step 5

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 5.1

Multiply $\frac{11}{3}$ by $\frac{2}{2}$ .

$- \frac{11 \cdot 2}{3 \cdot 2} - \frac{9}{2} \cdot \frac{3}{3}$

Step 5.2

Multiply $3$ by $2$ .

$- \frac{11 \cdot 2}{6} - \frac{9}{2} \cdot \frac{3}{3}$

Step 5.3

Multiply $\frac{9}{2}$ by $\frac{3}{3}$ .

$- \frac{11 \cdot 2}{6} - \frac{9 \cdot 3}{2 \cdot 3}$

Step 5.4

Multiply $2$ by $3$ .

$- \frac{11 \cdot 2}{6} - \frac{9 \cdot 3}{6}$

Step 6

Combine the numerators over the common denominator.

$\frac{- 11 \cdot 2 - 9 \cdot 3}{6}$

Step 7

Simplify the numerator.

Tap for more steps...

Step 7.1

Multiply $- 11$ by $2$ .

$\frac{- 22 - 9 \cdot 3}{6}$

Step 7.2

Multiply $- 9$ by $3$ .

$\frac{- 22 - 27}{6}$

Step 7.3

Subtract $27$ from $- 22$ .

$\frac{- 49}{6}$

Step 8

Move the negative in front of the fraction.

$- \frac{49}{6}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$- \frac{49}{6}$

Decimal Form:

$- 8.1\overline{6}$

Mixed Number Form:

$- 8 \frac{1}{6}$