Evaluate -1/2+(-4)+(-2 2/3)

$- \frac{1}{2} + (- 4) + (- 2 \frac{2}{3})$

Remove parentheses.

$- \frac{1}{2} - 4 - 2 \frac{2}{3}$

Convert $2 \frac{2}{3}$ to an improper fraction.

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

$- \frac{1}{2} - 4 - (2 + \frac{2}{3})$

Add $2$ and $\frac{2}{3}$ .

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

$- \frac{1}{2} - 4 - (2 \cdot \frac{3}{3} + \frac{2}{3})$

Combine $2$ and $\frac{3}{3}$ .

$- \frac{1}{2} - 4 - (\frac{2 \cdot 3}{3} + \frac{2}{3})$

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $2$ by $3$ .

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

Add $6$ and $2$ .

$- \frac{1}{2} - 4 - \frac{8}{3}$

Find the common denominator.

Multiply $\frac{1}{2}$ by $\frac{3}{3}$ .

$- (\frac{1}{2} \cdot \frac{3}{3}) - 4 - \frac{8}{3}$

Multiply $\frac{1}{2}$ by $\frac{3}{3}$ .

$- \frac{3}{2 \cdot 3} - 4 - \frac{8}{3}$

Write $- 4$ as a fraction with denominator $1$ .

$- \frac{3}{2 \cdot 3} + \frac{- 4}{1} - \frac{8}{3}$

Multiply $\frac{- 4}{1}$ by $\frac{6}{6}$ .

$- \frac{3}{2 \cdot 3} + \frac{- 4}{1} \cdot \frac{6}{6} - \frac{8}{3}$

Multiply $\frac{- 4}{1}$ by $\frac{6}{6}$ .

$- \frac{3}{2 \cdot 3} + \frac{- 4 \cdot 6}{6} - \frac{8}{3}$

Multiply $\frac{8}{3}$ by $\frac{2}{2}$ .

$- \frac{3}{2 \cdot 3} + \frac{- 4 \cdot 6}{6} - (\frac{8}{3} \cdot \frac{2}{2})$

Multiply $\frac{8}{3}$ by $\frac{2}{2}$ .

$- \frac{3}{2 \cdot 3} + \frac{- 4 \cdot 6}{6} - \frac{8 \cdot 2}{3 \cdot 2}$

Multiply $2$ by $3$ .

$- \frac{3}{6} + \frac{- 4 \cdot 6}{6} - \frac{8 \cdot 2}{3 \cdot 2}$

Reorder the factors of $3 \cdot 2$ .

$- \frac{3}{6} + \frac{- 4 \cdot 6}{6} - \frac{8 \cdot 2}{2 \cdot 3}$

Multiply $2$ by $3$ .

$- \frac{3}{6} + \frac{- 4 \cdot 6}{6} - \frac{8 \cdot 2}{6}$

Combine the numerators over the common denominator.

$\frac{- 3 - 4 \cdot 6 - 8 \cdot 2}{6}$

Simplify each term.

Multiply $- 4$ by $6$ .

$\frac{- 3 - 24 - 8 \cdot 2}{6}$

Multiply $- 8$ by $2$ .

$\frac{- 3 - 24 - 16}{6}$

Simplify the expression.

Subtract $24$ from $- 3$ .

$\frac{- 27 - 16}{6}$

Subtract $16$ from $- 27$ .

$\frac{- 43}{6}$

Move the negative in front of the fraction.

$- \frac{43}{6}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{43}{6}$

Decimal Form:

$- 7.1\overline{6}$

Mixed Number Form:

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

Evaluate -1/2+(-4)+(-2 2/3)

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