Solve 1/20+3/10+1/15+1/30

$$\frac { 1 } { 20 } + \frac { 3 } { 10 } + \frac { 1 } { 15 } + \frac { 1 } { 30 }$$

Evaluate

$$\frac{9}{20}=0.45$$

Solution Steps

Least common multiple of 20 and 10 is 20. Convert \frac{1}{20} and \frac{3}{10} to fractions with denominator 20.

$$\frac{1}{20}+\frac{6}{20}+\frac{1}{15}+\frac{1}{30}$$

Since \frac{1}{20} and \frac{6}{20} have the same denominator, add them by adding their numerators.

$$\frac{1+6}{20}+\frac{1}{15}+\frac{1}{30}$$

Add 1 and 6 to get 7.

$$\frac{7}{20}+\frac{1}{15}+\frac{1}{30}$$

Least common multiple of 20 and 15 is 60. Convert \frac{7}{20} and \frac{1}{15} to fractions with denominator 60.

$$\frac{21}{60}+\frac{4}{60}+\frac{1}{30}$$

Since \frac{21}{60} and \frac{4}{60} have the same denominator, add them by adding their numerators.

$$\frac{21+4}{60}+\frac{1}{30}$$

Add 21 and 4 to get 25.

$$\frac{25}{60}+\frac{1}{30}$$

Reduce the fraction \frac{25}{60} to lowest terms by extracting and canceling out 5.

$$\frac{5}{12}+\frac{1}{30}$$

Least common multiple of 12 and 30 is 60. Convert \frac{5}{12} and \frac{1}{30} to fractions with denominator 60.

$$\frac{25}{60}+\frac{2}{60}$$

Since \frac{25}{60} and \frac{2}{60} have the same denominator, add them by adding their numerators.

$$\frac{25+2}{60}$$

Add 25 and 2 to get 27.

$$\frac{27}{60}$$

Reduce the fraction \frac{27}{60} to lowest terms by extracting and canceling out 3.

$$\frac{9}{20}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2} \cdot 5} = 0.45$$