Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $2$ .

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Step 1.1.1

Move the leading negative in $- \frac{11}{6}$ into the numerator.

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

Step 1.1.2

Factor $2$ out of $- 2$ .

$2 (- 1) \frac{- 11}{6} + 6$

Step 1.1.3

Factor $2$ out of $6$ .

$2 \cdot - 1 \frac{- 11}{2 \cdot 3} + 6$

Step 1.1.4

Cancel the common factor.

$2 \cdot - 1 \frac{- 11}{2 \cdot 3} + 6$

Step 1.1.5

Rewrite the expression.

$- 1 (\frac{- 11}{3}) + 6$

Step 1.2

Move the negative in front of the fraction.

$- 1 (- \frac{11}{3}) + 6$

Step 1.3

Multiply $- 1 (- \frac{11}{3})$ .

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Step 1.3.1

Multiply $- 1$ by $- 1$ .

$1 (\frac{11}{3}) + 6$

Step 1.3.2

Multiply $\frac{11}{3}$ by $1$ .

$\frac{11}{3} + 6$

Step 2

To write $6$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{11}{3} + 6 \cdot \frac{3}{3}$

Step 3

Combine $6$ and $\frac{3}{3}$ .

$\frac{11}{3} + \frac{6 \cdot 3}{3}$

Step 4

Combine the numerators over the common denominator.

$\frac{11 + 6 \cdot 3}{3}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $6$ by $3$ .

$\frac{11 + 18}{3}$

Step 5.2

Add $11$ and $18$ .

$\frac{29}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{29}{3}$

Decimal Form:

$9.\overline{6}$

Mixed Number Form:

$9 \frac{2}{3}$