Evaluate -2/3-5/3-1/6-(-2/3+1/3)

$- \frac{2}{3} - \frac{5}{3} - \frac{1}{6} - (- \frac{2}{3} + \frac{1}{3})$

Combine fractions.

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Combine fractions with similar denominators.

$- (- \frac{2}{3} + \frac{1}{3}) + \frac{- 2 - 5}{3} + \frac{- 1}{6}$

Simplify the expression.

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Subtract $5$ from $- 2$ .

$- (- \frac{2}{3} + \frac{1}{3}) + \frac{- 7}{3} + \frac{- 1}{6}$

Move the negative in front of the fraction.

$- (- \frac{2}{3} + \frac{1}{3}) - \frac{7}{3} + \frac{- 1}{6}$

Move the negative in front of the fraction.

$- (- \frac{2}{3} + \frac{1}{3}) - \frac{7}{3} - \frac{1}{6}$

Simplify each term.

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Combine the numerators over the common denominator.

$- \frac{- 2 + 1}{3} - \frac{7}{3} - \frac{1}{6}$

Add $- 2$ and $1$ .

$- \frac{- 1}{3} - \frac{7}{3} - \frac{1}{6}$

Move the negative in front of the fraction.

$- - \frac{1}{3} - \frac{7}{3} - \frac{1}{6}$

Multiply $- - \frac{1}{3}$ .

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Multiply $- 1$ by $- 1$ .

$1 (\frac{1}{3}) - \frac{7}{3} - \frac{1}{6}$

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

$\frac{1}{3} - \frac{7}{3} - \frac{1}{6}$

Combine fractions.

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Combine fractions with similar denominators.

$\frac{1 - 7}{3} + \frac{- 1}{6}$

Simplify the expression.

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Subtract $7$ from $1$ .

$\frac{- 6}{3} + \frac{- 1}{6}$

Divide $- 6$ by $3$ .

$- 2 + \frac{- 1}{6}$

Move the negative in front of the fraction.

$- 2 - \frac{1}{6}$

To write $- 2$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$- 2 \cdot \frac{6}{6} - \frac{1}{6}$

Combine $- 2$ and $\frac{6}{6}$ .

$\frac{- 2 \cdot 6}{6} - \frac{1}{6}$

Combine the numerators over the common denominator.

$\frac{- 2 \cdot 6 - 1}{6}$

Simplify the numerator.

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Multiply $- 2$ by $6$ .

$\frac{- 12 - 1}{6}$

Subtract $1$ from $- 12$ .

$\frac{- 13}{6}$

Move the negative in front of the fraction.

$- \frac{13}{6}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{13}{6}$

Decimal Form:

$- 2.1\overline{6}$

Mixed Number Form:

$- 2 \frac{1}{6}$

Evaluate -2/3-5/3-1/6-(-2/3+1/3)

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