Solve 5/12+1/5+1/3+1/5

$$\frac{ 5 }{ 12 } + \frac{ 1 }{ 5 } + \frac{ 1 }{ 3 } + \frac{ 1 }{ 5 }$$

Evaluate

$$\frac{23}{20}=1.15$$

Solution Steps

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

$$\frac{25}{60}+\frac{12}{60}+\frac{1}{3}+\frac{1}{5}$$

Since \frac{25}{60} and \frac{12}{60} have the same denominator, add them by adding their numerators.

$$\frac{25+12}{60}+\frac{1}{3}+\frac{1}{5}$$

Add 25 and 12 to get 37.

$$\frac{37}{60}+\frac{1}{3}+\frac{1}{5}$$

Least common multiple of 60 and 3 is 60. Convert \frac{37}{60} and \frac{1}{3} to fractions with denominator 60.

$$\frac{37}{60}+\frac{20}{60}+\frac{1}{5}$$

Since \frac{37}{60} and \frac{20}{60} have the same denominator, add them by adding their numerators.

$$\frac{37+20}{60}+\frac{1}{5}$$

Add 37 and 20 to get 57.

$$\frac{57}{60}+\frac{1}{5}$$

Reduce the fraction \frac{57}{60} to lowest terms by extracting and canceling out 3.

$$\frac{19}{20}+\frac{1}{5}$$

Least common multiple of 20 and 5 is 20. Convert \frac{19}{20} and \frac{1}{5} to fractions with denominator 20.

$$\frac{19}{20}+\frac{4}{20}$$

Since \frac{19}{20} and \frac{4}{20} have the same denominator, add them by adding their numerators.

$$\frac{19+4}{20}$$

Add 19 and 4 to get 23.

$$\frac{23}{20}$$

Factor

$$\frac{23}{2 ^ {2} \cdot 5} = 1\frac{3}{20} = 1.15$$