Solve 11/20+7/12-4/15

$$\frac { 11 } { 20 } + \frac { 7 } { 12 } - \frac { 4 } { 15 }$$

Evaluate

$$\frac{13}{15}\approx 0.866666667$$

Solution Steps

Least common multiple of 20 and 12 is 60. Convert \frac{11}{20} and \frac{7}{12} to fractions with denominator 60.

$$\frac{33}{60}+\frac{35}{60}-\frac{4}{15}$$

Since \frac{33}{60} and \frac{35}{60} have the same denominator, add them by adding their numerators.

$$\frac{33+35}{60}-\frac{4}{15}$$

Add 33 and 35 to get 68.

$$\frac{68}{60}-\frac{4}{15}$$

Reduce the fraction \frac{68}{60} to lowest terms by extracting and canceling out 4.

$$\frac{17}{15}-\frac{4}{15}$$

Since \frac{17}{15} and \frac{4}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-4}{15}$$

Subtract 4 from 17 to get 13.

$$\frac{13}{15}$$

Factor

$$\frac{13}{3 \cdot 5} = 0.8666666666666667$$