Solve 3/5+(-7/8)-13/20

$$\frac { 3 } { 5 } + ( - \frac { 7 } { 8 } ) - \frac { 13 } { 20 }$$

Evaluate

$$-\frac{37}{40}=-0.925$$

Solution Steps

Least common multiple of 5 and 8 is 40. Convert \frac{3}{5} and \frac{7}{8} to fractions with denominator 40.

$$\frac{24}{40}-\frac{35}{40}-\frac{13}{20}$$

Since \frac{24}{40} and \frac{35}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-35}{40}-\frac{13}{20}$$

Subtract 35 from 24 to get -11.

$$-\frac{11}{40}-\frac{13}{20}$$

Least common multiple of 40 and 20 is 40. Convert -\frac{11}{40} and \frac{13}{20} to fractions with denominator 40.

$$-\frac{11}{40}-\frac{26}{40}$$

Since -\frac{11}{40} and \frac{26}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-11-26}{40}$$

Subtract 26 from -11 to get -37.

$$-\frac{37}{40}$$

Factor

$$-\frac{37}{40} = -0.925$$