Solve -1/4-1/2+3/4+1/8-frac{3}{8}

$$- \frac { 1 } { 4 } - \frac { 1 } { 2 } + \frac { 3 } { 4 } + \frac { 1 } { 8 } - \frac { 3 } { 8 }$$

Evaluate

$$-\frac{1}{4}=-0.25$$

Solution Steps

Least common multiple of 4 and 2 is 4. Convert -\frac{1}{4} and \frac{1}{2} to fractions with denominator 4.

$$-\frac{1}{4}-\frac{2}{4}+\frac{3}{4}+\frac{1}{8}-\frac{3}{8}$$

Since -\frac{1}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-2}{4}+\frac{3}{4}+\frac{1}{8}-\frac{3}{8}$$

Subtract 2 from -1 to get -3.

$$-\frac{3}{4}+\frac{3}{4}+\frac{1}{8}-\frac{3}{8}$$

Add -\frac{3}{4} and \frac{3}{4} to get 0.

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

Since \frac{1}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from 1 to get -2.

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

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

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

Factor

$$-\frac{1}{4} = -0.25$$