Solve -(5/2+3/7-7/4)=

$$- ( \frac { 5 } { 2 } + \frac { 3 } { 7 } - \frac { 7 } { 4 } ) =$$

Evaluate

$$-\frac{33}{28}\approx -1.178571429$$

Solution Steps

Least common multiple of 2 and 7 is 14. Convert \frac{5}{2} and \frac{3}{7} to fractions with denominator 14.

$$-\left(\frac{35}{14}+\frac{6}{14}-\frac{7}{4}\right)$$

Since \frac{35}{14} and \frac{6}{14} have the same denominator, add them by adding their numerators.

$$-\left(\frac{35+6}{14}-\frac{7}{4}\right)$$

Add 35 and 6 to get 41.

$$-\left(\frac{41}{14}-\frac{7}{4}\right)$$

Least common multiple of 14 and 4 is 28. Convert \frac{41}{14} and \frac{7}{4} to fractions with denominator 28.

$$-\left(\frac{82}{28}-\frac{49}{28}\right)$$

Since \frac{82}{28} and \frac{49}{28} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{82-49}{28}$$

Subtract 49 from 82 to get 33.

$$-\frac{33}{28}$$

Factor

$$-\frac{33}{28} = -1\frac{5}{28} = -1.1785714285714286$$