Solve 1/1100-1/3600

$$\frac{ 1 }{ 1100 } - \frac{ 1 }{ 3600 }$$

Evaluate

$$\frac{1}{1584}\approx 0.000631313$$

Solution Steps

Least common multiple of 1100 and 3600 is 39600. Convert \frac{1}{1100} and \frac{1}{3600} to fractions with denominator 39600.

$$\frac{36}{39600}-\frac{11}{39600}$$

Since \frac{36}{39600} and \frac{11}{39600} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36-11}{39600}$$

Subtract 11 from 36 to get 25.

$$\frac{25}{39600}$$

Reduce the fraction \frac{25}{39600} to lowest terms by extracting and canceling out 25.

$$\frac{1}{1584}$$

Factor

$$\frac{1}{2 ^ {4} \cdot 3 ^ {2} \cdot 11} = 0.0006313131313131314$$