Solve 1/15-11/24-15/36

$$\frac { 1 } { 15 } - \frac { 11 } { 24 } - \frac { 15 } { 36 }$$

Evaluate

$$-\frac{97}{120}\approx -0.808333333$$

Solution Steps

Least common multiple of 15 and 24 is 120. Convert \frac{1}{15} and \frac{11}{24} to fractions with denominator 120.

$$\frac{8}{120}-\frac{55}{120}-\frac{15}{36}$$

Since \frac{8}{120} and \frac{55}{120} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-55}{120}-\frac{15}{36}$$

Subtract 55 from 8 to get -47.

$$-\frac{47}{120}-\frac{15}{36}$$

Reduce the fraction \frac{15}{36} to lowest terms by extracting and canceling out 3.

$$-\frac{47}{120}-\frac{5}{12}$$

Least common multiple of 120 and 12 is 120. Convert -\frac{47}{120} and \frac{5}{12} to fractions with denominator 120.

$$-\frac{47}{120}-\frac{50}{120}$$

Since -\frac{47}{120} and \frac{50}{120} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-47-50}{120}$$

Subtract 50 from -47 to get -97.

$$-\frac{97}{120}$$

Factor

$$-\frac{97}{120} = -0.8083333333333333$$