Solve 5/12+2/15+3/10

$$\frac { 5 } { 12 } + \frac { 2 } { 15 } + \frac { 3 } { 10 }$$

Evaluate

$$\frac{17}{20}=0.85$$

Solution Steps

Least common multiple of 12 and 15 is 60. Convert \frac{5}{12} and \frac{2}{15} to fractions with denominator 60.

$$\frac{25}{60}+\frac{8}{60}+\frac{3}{10}$$

Since \frac{25}{60} and \frac{8}{60} have the same denominator, add them by adding their numerators.

$$\frac{25+8}{60}+\frac{3}{10}$$

Add 25 and 8 to get 33.

$$\frac{33}{60}+\frac{3}{10}$$

Reduce the fraction \frac{33}{60} to lowest terms by extracting and canceling out 3.

$$\frac{11}{20}+\frac{3}{10}$$

Least common multiple of 20 and 10 is 20. Convert \frac{11}{20} and \frac{3}{10} to fractions with denominator 20.

$$\frac{11}{20}+\frac{6}{20}$$

Since \frac{11}{20} and \frac{6}{20} have the same denominator, add them by adding their numerators.

$$\frac{11+6}{20}$$

Add 11 and 6 to get 17.

$$\frac{17}{20}$$

Factor

$$\frac{17}{2 ^ {2} \cdot 5} = 0.85$$