Solve 4(3/8)^2-9/8

$$4 ( \frac { 3 } { 8 } ) ^ { 2 } - \frac { 9 } { 8 }$$

Evaluate

$$-\frac{9}{16}=-0.5625$$

Solution Steps

Calculate \frac{3}{8} to the power of 2 and get \frac{9}{64}.

$$4\times \frac{9}{64}-\frac{9}{8}$$

Express 4\times \frac{9}{64} as a single fraction.

$$\frac{4\times 9}{64}-\frac{9}{8}$$

Multiply 4 and 9 to get 36.

$$\frac{36}{64}-\frac{9}{8}$$

Reduce the fraction \frac{36}{64} to lowest terms by extracting and canceling out 4.

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

Least common multiple of 16 and 8 is 16. Convert \frac{9}{16} and \frac{9}{8} to fractions with denominator 16.

$$\frac{9}{16}-\frac{18}{16}$$

Since \frac{9}{16} and \frac{18}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-18}{16}$$

Subtract 18 from 9 to get -9.

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

Factor

$$-\frac{9}{16} = -0.5625$$