Evaluate 1/6-11/12+2/3

$\frac{1}{6} - \frac{11}{12} + \frac{2}{3}$

Find the common denominator.

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Multiply $\frac{1}{6}$ by $\frac{2}{2}$ .

$\frac{1}{6} \cdot \frac{2}{2} - \frac{11}{12} + \frac{2}{3}$

Combine.

$\frac{1 \cdot 2}{6 \cdot 2} - \frac{11}{12} + \frac{2}{3}$

Multiply $\frac{2}{3}$ by $\frac{4}{4}$ .

$\frac{1 \cdot 2}{6 \cdot 2} - \frac{11}{12} + \frac{2}{3} \cdot \frac{4}{4}$

Combine.

$\frac{1 \cdot 2}{6 \cdot 2} - \frac{11}{12} + \frac{2 \cdot 4}{3 \cdot 4}$

Reorder the factors of $6 \cdot 2$ .

$\frac{1 \cdot 2}{2 \cdot 6} - \frac{11}{12} + \frac{2 \cdot 4}{3 \cdot 4}$

Multiply $2$ by $6$ .

$\frac{1 \cdot 2}{12} - \frac{11}{12} + \frac{2 \cdot 4}{3 \cdot 4}$

Multiply $3$ by $4$ .

$\frac{1 \cdot 2}{12} - \frac{11}{12} + \frac{2 \cdot 4}{12}$

Combine fractions.

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Combine fractions with similar denominators.

$\frac{1 \cdot 2 - 11 + 2 \cdot 4}{12}$

Multiply.

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Multiply $2$ by $1$ .

$\frac{2 - 11 + 2 \cdot 4}{12}$

Multiply $2$ by $4$ .

$\frac{2 - 11 + 8}{12}$

Simplify the numerator.

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Subtract $11$ from $2$ .

$\frac{- 9 + 8}{12}$

Add $- 9$ and $8$ .

$\frac{- 1}{12}$

Move the negative in front of the fraction.

$- \frac{1}{12}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{12}$

Decimal Form:

$- 0.08\overline{3}$

Evaluate 1/6-11/12+2/3

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