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

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

Evaluate

$$\frac{51}{56}\approx 0.910714286$$

Solution Steps

Calculate \frac{1}{2} to the power of 3 and get \frac{1}{8}.

$$\frac{\frac{1}{8}+2}{3^{-1}+2}$$

Add \frac{1}{8} and 2 to get \frac{17}{8}.

$$\frac{\frac{17}{8}}{3^{-1}+2}$$

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

$$\frac{\frac{17}{8}}{\frac{1}{3}+2}$$

Add \frac{1}{3} and 2 to get \frac{7}{3}.

$$\frac{\frac{17}{8}}{\frac{7}{3}}$$

Divide \frac{17}{8} by \frac{7}{3} by multiplying \frac{17}{8} by the reciprocal of \frac{7}{3}.

$$\frac{17}{8}\times \frac{3}{7}$$

Multiply \frac{17}{8} and \frac{3}{7} to get \frac{51}{56}.

$$\frac{51}{56}$$

Factor

$$\frac{3 \cdot 17}{2 ^ {3} \cdot 7} = 0.9107142857142857$$