Solve 11/3+3/5+17/20

$$\frac { 11 } { 3 } + \frac { 3 } { 5 } + \frac { 17 } { 20 }$$

Evaluate

$$\frac{307}{60}\approx 5.116666667$$

Solution Steps

Least common multiple of 3 and 5 is 15. Convert \frac{11}{3} and \frac{3}{5} to fractions with denominator 15.

$$\frac{55}{15}+\frac{9}{15}+\frac{17}{20}$$

Since \frac{55}{15} and \frac{9}{15} have the same denominator, add them by adding their numerators.

$$\frac{55+9}{15}+\frac{17}{20}$$

Add 55 and 9 to get 64.

$$\frac{64}{15}+\frac{17}{20}$$

Least common multiple of 15 and 20 is 60. Convert \frac{64}{15} and \frac{17}{20} to fractions with denominator 60.

$$\frac{256}{60}+\frac{51}{60}$$

Since \frac{256}{60} and \frac{51}{60} have the same denominator, add them by adding their numerators.

$$\frac{256+51}{60}$$

Add 256 and 51 to get 307.

$$\frac{307}{60}$$

Factor

$$\frac{307}{2 ^ {2} \cdot 3 \cdot 5} = 5\frac{7}{60} = 5.116666666666666$$