Solve 1/3+1/9+1/5=

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

Evaluate

$$\frac{29}{45}\approx 0.644444444$$

Solution Steps

Least common multiple of 3 and 9 is 9. Convert \frac{1}{3} and \frac{1}{9} to fractions with denominator 9.

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

Since \frac{3}{9} and \frac{1}{9} have the same denominator, add them by adding their numerators.

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

Add 3 and 1 to get 4.

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

Least common multiple of 9 and 5 is 45. Convert \frac{4}{9} and \frac{1}{5} to fractions with denominator 45.

$$\frac{20}{45}+\frac{9}{45}$$

Since \frac{20}{45} and \frac{9}{45} have the same denominator, add them by adding their numerators.

$$\frac{20+9}{45}$$

Add 20 and 9 to get 29.

$$\frac{29}{45}$$

Factor

$$\frac{29}{3 ^ {2} \cdot 5} = 0.6444444444444445$$