Solve =1/100+1/2200+1/330

$$= \frac { 1 } { 100 } + \frac { 1 } { 2200 } + \frac { 1 } { 330 }$$

Evaluate

$$\frac{89}{6600}\approx 0.013484848$$

Solution Steps

Least common multiple of 100 and 2200 is 2200. Convert \frac{1}{100} and \frac{1}{2200} to fractions with denominator 2200.

$$\frac{22}{2200}+\frac{1}{2200}+\frac{1}{330}$$

Since \frac{22}{2200} and \frac{1}{2200} have the same denominator, add them by adding their numerators.

$$\frac{22+1}{2200}+\frac{1}{330}$$

Add 22 and 1 to get 23.

$$\frac{23}{2200}+\frac{1}{330}$$

Least common multiple of 2200 and 330 is 6600. Convert \frac{23}{2200} and \frac{1}{330} to fractions with denominator 6600.

$$\frac{69}{6600}+\frac{20}{6600}$$

Since \frac{69}{6600} and \frac{20}{6600} have the same denominator, add them by adding their numerators.

$$\frac{69+20}{6600}$$

Add 69 and 20 to get 89.

$$\frac{89}{6600}$$

Factor

$$\frac{89}{2 ^ {3} \cdot 3 \cdot 5 ^ {2} \cdot 11} = 0.013484848484848485$$