Solve (2/3)^3+(1/3)

$$( \frac { 2 } { 3 } ) ^ { 3 } + ( \frac { 1 } { 3 } )$$

Evaluate

$$\frac{17}{27}\approx 0.62962963$$

Solution Steps

Calculate \frac{2}{3} to the power of 3 and get \frac{8}{27}.

$$\frac{8}{27}+\frac{1}{3}$$

Least common multiple of 27 and 3 is 27. Convert \frac{8}{27} and \frac{1}{3} to fractions with denominator 27.

$$\frac{8}{27}+\frac{9}{27}$$

Since \frac{8}{27} and \frac{9}{27} have the same denominator, add them by adding their numerators.

$$\frac{8+9}{27}$$

Add 8 and 9 to get 17.

$$\frac{17}{27}$$

Factor

$$\frac{17}{3 ^ {3}} = 0.6296296296296297$$