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

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

Evaluate

$$\frac{131}{60}\approx 2.183333333$$

Solution Steps

Least common multiple of 4 and 5 is 20. Convert \frac{1}{4} and \frac{3}{5} to fractions with denominator 20.

$$\frac{5}{20}+\frac{12}{20}+\frac{4}{3}$$

Since \frac{5}{20} and \frac{12}{20} have the same denominator, add them by adding their numerators.

$$\frac{5+12}{20}+\frac{4}{3}$$

Add 5 and 12 to get 17.

$$\frac{17}{20}+\frac{4}{3}$$

Least common multiple of 20 and 3 is 60. Convert \frac{17}{20} and \frac{4}{3} to fractions with denominator 60.

$$\frac{51}{60}+\frac{80}{60}$$

Since \frac{51}{60} and \frac{80}{60} have the same denominator, add them by adding their numerators.

$$\frac{51+80}{60}$$

Add 51 and 80 to get 131.

$$\frac{131}{60}$$

Factor

$$\frac{131}{2 ^ {2} \cdot 3 \cdot 5} = 2\frac{11}{60} = 2.183333333333333$$