Solve 4/6:(1/2)^3=

$$\frac { 4 } { 6 } : ( \frac { 1 } { 2 } ) ^ { 3 } =$$

Evaluate

$$\frac{16}{3}\approx 5.333333333$$

Solution Steps

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

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

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

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

Divide \frac{2}{3} by \frac{1}{8} by multiplying \frac{2}{3} by the reciprocal of \frac{1}{8}.

$$\frac{2}{3}\times 8$$

Express \frac{2}{3}\times 8 as a single fraction.

$$\frac{2\times 8}{3}$$

Multiply 2 and 8 to get 16.

$$\frac{16}{3}$$

Factor

$$\frac{2 ^ {4}}{3} = 5\frac{1}{3} = 5.333333333333333$$