Solve 1/51-1/52

$$\frac{ 1 }{ 51 } - \frac{ 1 }{ 52 }$$

Evaluate

$$\frac{1}{2652}\approx 0.000377074$$

Solution Steps

Least common multiple of 51 and 52 is 2652. Convert \frac{1}{51} and \frac{1}{52} to fractions with denominator 2652.

$$\frac{52}{2652}-\frac{51}{2652}$$

Since \frac{52}{2652} and \frac{51}{2652} have the same denominator, subtract them by subtracting their numerators.

$$\frac{52-51}{2652}$$

Subtract 51 from 52 to get 1.

$$\frac{1}{2652}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3 \cdot 13 \cdot 17} = 0.0003770739064856712$$