Solve 3/20+5/3+5/18

$$\frac { 3 } { 20 } + \frac { 5 } { 3 } + \frac { 5 } { 18 }$$

Evaluate

$$\frac{377}{180}\approx 2.094444444$$

Solution Steps

Least common multiple of 20 and 3 is 60. Convert \frac{3}{20} and \frac{5}{3} to fractions with denominator 60.

$$\frac{9}{60}+\frac{100}{60}+\frac{5}{18}$$

Since \frac{9}{60} and \frac{100}{60} have the same denominator, add them by adding their numerators.

$$\frac{9+100}{60}+\frac{5}{18}$$

Add 9 and 100 to get 109.

$$\frac{109}{60}+\frac{5}{18}$$

Least common multiple of 60 and 18 is 180. Convert \frac{109}{60} and \frac{5}{18} to fractions with denominator 180.

$$\frac{327}{180}+\frac{50}{180}$$

Since \frac{327}{180} and \frac{50}{180} have the same denominator, add them by adding their numerators.

$$\frac{327+50}{180}$$

Add 327 and 50 to get 377.

$$\frac{377}{180}$$

Factor

$$\frac{13 \cdot 29}{2 ^ {2} \cdot 3 ^ {2} \cdot 5} = 2\frac{17}{180} = 2.0944444444444446$$