Solve 3/5+1/4+3/9

$$\frac{ 3 }{ 5 } + \frac{ 1 }{ 4 } + \frac{ 3 }{ 9 }$$

Evaluate

$$\frac{71}{60}\approx 1.183333333$$

Solution Steps

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

$$\frac{12}{20}+\frac{5}{20}+\frac{3}{9}$$

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

$$\frac{12+5}{20}+\frac{3}{9}$$

Add 12 and 5 to get 17.

$$\frac{17}{20}+\frac{3}{9}$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\frac{17}{20}+\frac{1}{3}$$

Least common multiple of 20 and 3 is 60. Convert \frac{17}{20} and \frac{1}{3} to fractions with denominator 60.

$$\frac{51}{60}+\frac{20}{60}$$

Since \frac{51}{60} and \frac{20}{60} have the same denominator, add them by adding their numerators.

$$\frac{51+20}{60}$$

Add 51 and 20 to get 71.

$$\frac{71}{60}$$

Factor

$$\frac{71}{2 ^ {2} \cdot 3 \cdot 5} = 1\frac{11}{60} = 1.1833333333333333$$