Solve 2/3+1/4+1/5

$$\frac { 2 } { 3 } + \frac { 1 } { 4 } + \frac { 1 } { 5 }$$

Evaluate

$$\frac{67}{60}\approx 1.116666667$$

Solution Steps

Least common multiple of 3 and 4 is 12. Convert \frac{2}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{8}{12}+\frac{3}{12}+\frac{1}{5}$$

Since \frac{8}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{8+3}{12}+\frac{1}{5}$$

Add 8 and 3 to get 11.

$$\frac{11}{12}+\frac{1}{5}$$

Least common multiple of 12 and 5 is 60. Convert \frac{11}{12} and \frac{1}{5} to fractions with denominator 60.

$$\frac{55}{60}+\frac{12}{60}$$

Since \frac{55}{60} and \frac{12}{60} have the same denominator, add them by adding their numerators.

$$\frac{55+12}{60}$$

Add 55 and 12 to get 67.

$$\frac{67}{60}$$

Factor

$$\frac{67}{2 ^ {2} \cdot 3 \cdot 5} = 1\frac{7}{60} = 1.1166666666666667$$