Solve 11/5+7/6+5/4

$$\frac { 11 } { 5 } + \frac { 7 } { 6 } + \frac { 5 } { 4 }$$

Evaluate

$$\frac{277}{60}\approx 4.616666667$$

Solution Steps

Least common multiple of 5 and 6 is 30. Convert \frac{11}{5} and \frac{7}{6} to fractions with denominator 30.

$$\frac{66}{30}+\frac{35}{30}+\frac{5}{4}$$

Since \frac{66}{30} and \frac{35}{30} have the same denominator, add them by adding their numerators.

$$\frac{66+35}{30}+\frac{5}{4}$$

Add 66 and 35 to get 101.

$$\frac{101}{30}+\frac{5}{4}$$

Least common multiple of 30 and 4 is 60. Convert \frac{101}{30} and \frac{5}{4} to fractions with denominator 60.

$$\frac{202}{60}+\frac{75}{60}$$

Since \frac{202}{60} and \frac{75}{60} have the same denominator, add them by adding their numerators.

$$\frac{202+75}{60}$$

Add 202 and 75 to get 277.

$$\frac{277}{60}$$

Factor

$$\frac{277}{2 ^ {2} \cdot 3 \cdot 5} = 4\frac{37}{60} = 4.616666666666666$$