Solve (3/4)^2-2*1/8

$$( \frac { 3 } { 4 } ) ^ { 2 } - 2 \times \frac { 1 } { 8 }$$

Evaluate

$$\frac{5}{16}=0.3125$$

Solution Steps

Calculate \frac{3}{4} to the power of 2 and get \frac{9}{16}.

$$\frac{9}{16}-2\times \frac{1}{8}$$

Multiply 2 and \frac{1}{8} to get \frac{2}{8}.

$$\frac{9}{16}-\frac{2}{8}$$

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$\frac{9}{16}-\frac{1}{4}$$

Least common multiple of 16 and 4 is 16. Convert \frac{9}{16} and \frac{1}{4} to fractions with denominator 16.

$$\frac{9}{16}-\frac{4}{16}$$

Since \frac{9}{16} and \frac{4}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-4}{16}$$

Subtract 4 from 9 to get 5.

$$\frac{5}{16}$$

Factor

$$\frac{5}{2 ^ {4}} = 0.3125$$