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

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

Evaluate

$$\frac{3}{32}=0.09375$$

Solution Steps

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

$$\frac{3}{8}-\frac{1}{2}\times \frac{9}{16}$$

Multiply \frac{1}{2} times \frac{9}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{8}-\frac{1\times 9}{2\times 16}$$

Do the multiplications in the fraction \frac{1\times 9}{2\times 16}.

$$\frac{3}{8}-\frac{9}{32}$$

Least common multiple of 8 and 32 is 32. Convert \frac{3}{8} and \frac{9}{32} to fractions with denominator 32.

$$\frac{12}{32}-\frac{9}{32}$$

Since \frac{12}{32} and \frac{9}{32} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-9}{32}$$

Subtract 9 from 12 to get 3.

$$\frac{3}{32}$$

Factor

$$\frac{3}{2 ^ {5}} = 0.09375$$