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

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

Evaluate

$$\frac{17}{18}\approx 0.944444444$$

Solution Steps

Calculate \frac{2}{3} to the power of 2 and get \frac{4}{9}.

$$\frac{4}{9}+\frac{1}{2}$$

Least common multiple of 9 and 2 is 18. Convert \frac{4}{9} and \frac{1}{2} to fractions with denominator 18.

$$\frac{8}{18}+\frac{9}{18}$$

Since \frac{8}{18} and \frac{9}{18} have the same denominator, add them by adding their numerators.

$$\frac{8+9}{18}$$

Add 8 and 9 to get 17.

$$\frac{17}{18}$$

Factor

$$\frac{17}{2 \cdot 3 ^ {2}} = 0.9444444444444444$$