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

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

Evaluate

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

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\frac{-9}{\left(-3\right)^{2}}-\left(-1\right)^{3}\left(\frac{1}{3}-\frac{1}{2}\right)$$

Calculate -3 to the power of 2 and get 9.

$$\frac{-9}{9}-\left(-1\right)^{3}\left(\frac{1}{3}-\frac{1}{2}\right)$$

Divide -9 by 9 to get -1.

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

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

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

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

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

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

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

Subtract 3 from 2 to get -1.

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

Multiply -1 and -\frac{1}{6} to get \frac{1}{6}.

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

Convert -1 to fraction -\frac{6}{6}.

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

Since -\frac{6}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from -6 to get -7.

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

Factor

$$-\frac{7}{6} = -1\frac{1}{6} = -1.1666666666666667$$