Solve 11/12+11/20

$$\frac { 11 } { 12 } + \frac { 11 } { 20 }$$

Evaluate

$$\frac{22}{15}\approx 1.466666667$$

Solution Steps

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

$$\frac{55}{60}+\frac{33}{60}$$

Since \frac{55}{60} and \frac{33}{60} have the same denominator, add them by adding their numerators.

$$\frac{55+33}{60}$$

Add 55 and 33 to get 88.

$$\frac{88}{60}$$

Reduce the fraction \frac{88}{60} to lowest terms by extracting and canceling out 4.

$$\frac{22}{15}$$

Factor

$$\frac{2 \cdot 11}{3 \cdot 5} = 1\frac{7}{15} = 1.4666666666666666$$