Solve -1/4+(-1/8-3)

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

Evaluate

$$-\frac{27}{8}=-3.375$$

Solution Steps

Least common multiple of 4 and 8 is 8. Convert -\frac{1}{4} and \frac{1}{8} to fractions with denominator 8.

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

Since -\frac{2}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from -2 to get -3.

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

Convert 3 to fraction \frac{24}{8}.

$$-\frac{3}{8}-\frac{24}{8}$$

Since -\frac{3}{8} and \frac{24}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-3-24}{8}$$

Subtract 24 from -3 to get -27.

$$-\frac{27}{8}$$

Factor

$$-\frac{27}{8} = -3\frac{3}{8} = -3.375$$