Solve -5/8+6/5-7/4

$$- \frac { 5 } { 8 } + \frac { 6 } { 5 } - \frac { 7 } { 4 }$$

Evaluate

$$-\frac{47}{40}=-1.175$$

Solution Steps

Least common multiple of 8 and 5 is 40. Convert -\frac{5}{8} and \frac{6}{5} to fractions with denominator 40.

$$-\frac{25}{40}+\frac{48}{40}-\frac{7}{4}$$

Since -\frac{25}{40} and \frac{48}{40} have the same denominator, add them by adding their numerators.

$$\frac{-25+48}{40}-\frac{7}{4}$$

Add -25 and 48 to get 23.

$$\frac{23}{40}-\frac{7}{4}$$

Least common multiple of 40 and 4 is 40. Convert \frac{23}{40} and \frac{7}{4} to fractions with denominator 40.

$$\frac{23}{40}-\frac{70}{40}$$

Since \frac{23}{40} and \frac{70}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23-70}{40}$$

Subtract 70 from 23 to get -47.

$$-\frac{47}{40}$$

Factor

$$-\frac{47}{40} = -1\frac{7}{40} = -1.175$$