Solve 17/5-9/2-27/4=

$$\frac { 17 } { 5 } - \frac { 9 } { 2 } - \frac { 27 } { 4 } =$$

Evaluate

$$-\frac{157}{20}=-7.85$$

Solution Steps

Least common multiple of 5 and 2 is 10. Convert \frac{17}{5} and \frac{9}{2} to fractions with denominator 10.

$$\frac{34}{10}-\frac{45}{10}-\frac{27}{4}$$

Since \frac{34}{10} and \frac{45}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{34-45}{10}-\frac{27}{4}$$

Subtract 45 from 34 to get -11.

$$-\frac{11}{10}-\frac{27}{4}$$

Least common multiple of 10 and 4 is 20. Convert -\frac{11}{10} and \frac{27}{4} to fractions with denominator 20.

$$-\frac{22}{20}-\frac{135}{20}$$

Since -\frac{22}{20} and \frac{135}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-22-135}{20}$$

Subtract 135 from -22 to get -157.

$$-\frac{157}{20}$$

Factor

$$-\frac{157}{20} = -7\frac{17}{20} = -7.85$$