Solve 3/32-2/8-1/2

$$\frac{ 3 }{ 32 } - \frac{ 2 }{ 8 } - \frac{ 1 }{ 2 }$$

Evaluate

$$-\frac{21}{32}=-0.65625$$

Solution Steps

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

$$\frac{3}{32}-\frac{1}{4}-\frac{1}{2}$$

Least common multiple of 32 and 4 is 32. Convert \frac{3}{32} and \frac{1}{4} to fractions with denominator 32.

$$\frac{3}{32}-\frac{8}{32}-\frac{1}{2}$$

Since \frac{3}{32} and \frac{8}{32} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-8}{32}-\frac{1}{2}$$

Subtract 8 from 3 to get -5.

$$-\frac{5}{32}-\frac{1}{2}$$

Least common multiple of 32 and 2 is 32. Convert -\frac{5}{32} and \frac{1}{2} to fractions with denominator 32.

$$-\frac{5}{32}-\frac{16}{32}$$

Since -\frac{5}{32} and \frac{16}{32} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-5-16}{32}$$

Subtract 16 from -5 to get -21.

$$-\frac{21}{32}$$

Factor

$$-\frac{21}{32} = -0.65625$$