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

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

Evaluate

$$\frac{5}{8}=0.625$$

Solution Steps

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

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

Least common multiple of 8 and 2 is 8. Convert \frac{1}{8} and \frac{3}{2} to fractions with denominator 8.

$$\frac{1}{8}+\frac{12}{8}-1$$

Since \frac{1}{8} and \frac{12}{8} have the same denominator, add them by adding their numerators.

$$\frac{1+12}{8}-1$$

Add 1 and 12 to get 13.

$$\frac{13}{8}-1$$

Convert 1 to fraction \frac{8}{8}.

$$\frac{13}{8}-\frac{8}{8}$$

Since \frac{13}{8} and \frac{8}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-8}{8}$$

Subtract 8 from 13 to get 5.

$$\frac{5}{8}$$

Factor

$$\frac{5}{2 ^ {3}} = 0.625$$