Solve (-1/3)^3-1/9+1/3

$$( - \frac { 1 } { 3 } ) ^ { 3 } - \frac { 1 } { 9 } + \frac { 1 } { 3 }$$

Evaluate

$$\frac{5}{27}\approx 0.185185185$$

Solution Steps

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

$$-\frac{1}{27}-\frac{1}{9}+\frac{1}{3}$$

Least common multiple of 27 and 9 is 27. Convert -\frac{1}{27} and \frac{1}{9} to fractions with denominator 27.

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

Since -\frac{1}{27} and \frac{3}{27} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from -1 to get -4.

$$-\frac{4}{27}+\frac{1}{3}$$

Least common multiple of 27 and 3 is 27. Convert -\frac{4}{27} and \frac{1}{3} to fractions with denominator 27.

$$-\frac{4}{27}+\frac{9}{27}$$

Since -\frac{4}{27} and \frac{9}{27} have the same denominator, add them by adding their numerators.

$$\frac{-4+9}{27}$$

Add -4 and 9 to get 5.

$$\frac{5}{27}$$

Factor

$$\frac{5}{3 ^ {3}} = 0.18518518518518517$$