Solve -{left(1/3right)}^3+2*-1/3+-1/3*-1

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

Evaluate

$$-\frac{10}{27}\approx -0.37037037$$

Solution Steps

Calculate \frac{1}{3} to the power of 3 and get \frac{1}{27}.

$$-\frac{1}{27}+2\left(-\frac{1}{3}\right)-\frac{1}{3}\left(-1\right)$$

Express 2\left(-\frac{1}{3}\right) as a single fraction.

$$-\frac{1}{27}+\frac{2\left(-1\right)}{3}-\frac{1}{3}\left(-1\right)$$

Multiply 2 and -1 to get -2.

$$-\frac{1}{27}+\frac{-2}{3}-\frac{1}{3}\left(-1\right)$$

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$-\frac{1}{27}-\frac{2}{3}-\frac{1}{3}\left(-1\right)$$

Least common multiple of 27 and 3 is 27. Convert -\frac{1}{27} and \frac{2}{3} to fractions with denominator 27.

$$-\frac{1}{27}-\frac{18}{27}-\frac{1}{3}\left(-1\right)$$

Since -\frac{1}{27} and \frac{18}{27} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-18}{27}-\frac{1}{3}\left(-1\right)$$

Subtract 18 from -1 to get -19.

$$-\frac{19}{27}-\frac{1}{3}\left(-1\right)$$

Multiply -\frac{1}{3} and -1 to get \frac{1}{3}.

$$-\frac{19}{27}+\frac{1}{3}$$

Least common multiple of 27 and 3 is 27. Convert -\frac{19}{27} and \frac{1}{3} to fractions with denominator 27.

$$-\frac{19}{27}+\frac{9}{27}$$

Since -\frac{19}{27} and \frac{9}{27} have the same denominator, add them by adding their numerators.

$$\frac{-19+9}{27}$$

Add -19 and 9 to get -10.

$$-\frac{10}{27}$$

Factor

$$-\frac{10}{27} = -0.37037037037037035$$