Solve 5/2-5/8-3/4-5=

$$\frac { 5 } { 2 } - \frac { 5 } { 8 } - \frac { 3 } { 4 } - 5 =$$

Evaluate

$$-\frac{31}{8}=-3.875$$

Solution Steps

Least common multiple of 2 and 8 is 8. Convert \frac{5}{2} and \frac{5}{8} to fractions with denominator 8.

$$\frac{20}{8}-\frac{5}{8}-\frac{3}{4}-5$$

Since \frac{20}{8} and \frac{5}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-5}{8}-\frac{3}{4}-5$$

Subtract 5 from 20 to get 15.

$$\frac{15}{8}-\frac{3}{4}-5$$

Least common multiple of 8 and 4 is 8. Convert \frac{15}{8} and \frac{3}{4} to fractions with denominator 8.

$$\frac{15}{8}-\frac{6}{8}-5$$

Since \frac{15}{8} and \frac{6}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-6}{8}-5$$

Subtract 6 from 15 to get 9.

$$\frac{9}{8}-5$$

Convert 5 to fraction \frac{40}{8}.

$$\frac{9}{8}-\frac{40}{8}$$

Since \frac{9}{8} and \frac{40}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-40}{8}$$

Subtract 40 from 9 to get -31.

$$-\frac{31}{8}$$

Factor

$$-\frac{31}{8} = -3\frac{7}{8} = -3.875$$