Solve 1/35+1/82+1/45

$$\frac{ 1 }{ 35 } + \frac{ 1 }{ 82 } + \frac{ 1 }{ 45 }$$

Evaluate

$$\frac{1627}{25830}\approx 0.062988773$$

Solution Steps

Least common multiple of 35 and 82 is 2870. Convert \frac{1}{35} and \frac{1}{82} to fractions with denominator 2870.

$$\frac{82}{2870}+\frac{35}{2870}+\frac{1}{45}$$

Since \frac{82}{2870} and \frac{35}{2870} have the same denominator, add them by adding their numerators.

$$\frac{82+35}{2870}+\frac{1}{45}$$

Add 82 and 35 to get 117.

$$\frac{117}{2870}+\frac{1}{45}$$

Least common multiple of 2870 and 45 is 25830. Convert \frac{117}{2870} and \frac{1}{45} to fractions with denominator 25830.

$$\frac{1053}{25830}+\frac{574}{25830}$$

Since \frac{1053}{25830} and \frac{574}{25830} have the same denominator, add them by adding their numerators.

$$\frac{1053+574}{25830}$$

Add 1053 and 574 to get 1627.

$$\frac{1627}{25830}$$

Factor

$$\frac{1627}{2 \cdot 3 ^ {2} \cdot 5 \cdot 7 \cdot 41} = 0.0629887727448703$$