Solve 1/52+1/2000

$$\frac { 1 } { 52 } + \frac { 1 } { 2000 }$$

Evaluate

$$\frac{513}{26000}\approx 0.019730769$$

Solution Steps

Least common multiple of 52 and 2000 is 26000. Convert \frac{1}{52} and \frac{1}{2000} to fractions with denominator 26000.

$$\frac{500}{26000}+\frac{13}{26000}$$

Since \frac{500}{26000} and \frac{13}{26000} have the same denominator, add them by adding their numerators.

$$\frac{500+13}{26000}$$

Add 500 and 13 to get 513.

$$\frac{513}{26000}$$

Factor

$$\frac{3 ^ {3} \cdot 19}{2 ^ {4} \cdot 5 ^ {3} \cdot 13} = 0.019730769230769232$$