Solve 1/273-1/300

$$\frac{ 1 }{ 273 } - \frac{ 1 }{ 300 }$$

Evaluate

$$\frac{3}{9100}\approx 0.00032967$$

Solution Steps

Least common multiple of 273 and 300 is 27300. Convert \frac{1}{273} and \frac{1}{300} to fractions with denominator 27300.

$$\frac{100}{27300}-\frac{91}{27300}$$

Since \frac{100}{27300} and \frac{91}{27300} have the same denominator, subtract them by subtracting their numerators.

$$\frac{100-91}{27300}$$

Subtract 91 from 100 to get 9.

$$\frac{9}{27300}$$

Reduce the fraction \frac{9}{27300} to lowest terms by extracting and canceling out 3.

$$\frac{3}{9100}$$

Factor

$$\frac{3}{2 ^ {2} \cdot 5 ^ {2} \cdot 7 \cdot 13} = 0.00032967032967032967$$