Solve 12/15+(-1/8)^2=

$$\frac { 12 } { 15 } + ( - \frac { 1 } { 8 } ) ^ { 2 } =$$

Evaluate

$$\frac{261}{320}=0.815625$$

Solution Steps

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

$$\frac{4}{5}+\left(-\frac{1}{8}\right)^{2}$$

Calculate -\frac{1}{8} to the power of 2 and get \frac{1}{64}.

$$\frac{4}{5}+\frac{1}{64}$$

Least common multiple of 5 and 64 is 320. Convert \frac{4}{5} and \frac{1}{64} to fractions with denominator 320.

$$\frac{256}{320}+\frac{5}{320}$$

Since \frac{256}{320} and \frac{5}{320} have the same denominator, add them by adding their numerators.

$$\frac{256+5}{320}$$

Add 256 and 5 to get 261.

$$\frac{261}{320}$$

Factor

$$\frac{3 ^ {2} \cdot 29}{2 ^ {6} \cdot 5} = 0.815625$$