Solve (-1)^3/3-(-1)^2/2-2*(-1)

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

Evaluate

$$\frac{7}{6}\approx 1.166666667$$

Solution Steps

Calculate -1 to the power of 3 and get -1.

$$\frac{-1}{3}-\frac{\left(-1\right)^{2}}{2}-2\left(-1\right)$$

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$-\frac{1}{3}-\frac{\left(-1\right)^{2}}{2}-2\left(-1\right)$$

Calculate -1 to the power of 2 and get 1.

$$-\frac{1}{3}-\frac{1}{2}-2\left(-1\right)$$

Least common multiple of 3 and 2 is 6. Convert -\frac{1}{3} and \frac{1}{2} to fractions with denominator 6.

$$-\frac{2}{6}-\frac{3}{6}-2\left(-1\right)$$

Since -\frac{2}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2-3}{6}-2\left(-1\right)$$

Subtract 3 from -2 to get -5.

$$-\frac{5}{6}-2\left(-1\right)$$

Multiply 2 and -1 to get -2.

$$-\frac{5}{6}-\left(-2\right)$$

The opposite of -2 is 2.

$$-\frac{5}{6}+2$$

Convert 2 to fraction \frac{12}{6}.

$$-\frac{5}{6}+\frac{12}{6}$$

Since -\frac{5}{6} and \frac{12}{6} have the same denominator, add them by adding their numerators.

$$\frac{-5+12}{6}$$

Add -5 and 12 to get 7.

$$\frac{7}{6}$$

Factor

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$$