Solve 3/5+1/3+3/4

$$\frac { 3 } { 5 } + \frac { 1 } { 3 } + \frac { 3 } { 4 }$$

Evaluate

$$\frac{101}{60}\approx 1.683333333$$

Solution Steps

Least common multiple of 5 and 3 is 15. Convert \frac{3}{5} and \frac{1}{3} to fractions with denominator 15.

$$\frac{9}{15}+\frac{5}{15}+\frac{3}{4}$$

Since \frac{9}{15} and \frac{5}{15} have the same denominator, add them by adding their numerators.

$$\frac{9+5}{15}+\frac{3}{4}$$

Add 9 and 5 to get 14.

$$\frac{14}{15}+\frac{3}{4}$$

Least common multiple of 15 and 4 is 60. Convert \frac{14}{15} and \frac{3}{4} to fractions with denominator 60.

$$\frac{56}{60}+\frac{45}{60}$$

Since \frac{56}{60} and \frac{45}{60} have the same denominator, add them by adding their numerators.

$$\frac{56+45}{60}$$

Add 56 and 45 to get 101.

$$\frac{101}{60}$$

Factor

$$\frac{101}{2 ^ {2} \cdot 3 \cdot 5} = 1\frac{41}{60} = 1.6833333333333333$$