Solve 1/8+3/5+2/9

$$\frac{ 1 }{ 8 } + \frac{ 3 }{ 5 } + \frac{ 2 }{ 9 }$$

Evaluate

$$\frac{341}{360}\approx 0.947222222$$

Solution Steps

Least common multiple of 8 and 5 is 40. Convert \frac{1}{8} and \frac{3}{5} to fractions with denominator 40.

$$\frac{5}{40}+\frac{24}{40}+\frac{2}{9}$$

Since \frac{5}{40} and \frac{24}{40} have the same denominator, add them by adding their numerators.

$$\frac{5+24}{40}+\frac{2}{9}$$

Add 5 and 24 to get 29.

$$\frac{29}{40}+\frac{2}{9}$$

Least common multiple of 40 and 9 is 360. Convert \frac{29}{40} and \frac{2}{9} to fractions with denominator 360.

$$\frac{261}{360}+\frac{80}{360}$$

Since \frac{261}{360} and \frac{80}{360} have the same denominator, add them by adding their numerators.

$$\frac{261+80}{360}$$

Add 261 and 80 to get 341.

$$\frac{341}{360}$$

Factor

$$\frac{11 \cdot 31}{2 ^ {3} \cdot 3 ^ {2} \cdot 5} = 0.9472222222222222$$