Solve 3/4-2/5-30

$$\frac { 3 } { 4 } - \frac { 2 } { 5 } - 30$$

Evaluate

$$-\frac{593}{20}=-29.65$$

Solution Steps

Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{2}{5} to fractions with denominator 20.

$$\frac{15}{20}-\frac{8}{20}-30$$

Since \frac{15}{20} and \frac{8}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-8}{20}-30$$

Subtract 8 from 15 to get 7.

$$\frac{7}{20}-30$$

Convert 30 to fraction \frac{600}{20}.

$$\frac{7}{20}-\frac{600}{20}$$

Since \frac{7}{20} and \frac{600}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-600}{20}$$

Subtract 600 from 7 to get -593.

$$-\frac{593}{20}$$

Factor

$$-\frac{593}{20} = -29\frac{13}{20} = -29.65$$