Solve 1/48-1/120

$$\frac{ 1 }{ 48 } - \frac{ 1 }{ 120 }$$

Evaluate

$$\frac{1}{80}=0.0125$$

Solution Steps

Least common multiple of 48 and 120 is 240. Convert \frac{1}{48} and \frac{1}{120} to fractions with denominator 240.

$$\frac{5}{240}-\frac{2}{240}$$

Since \frac{5}{240} and \frac{2}{240} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-2}{240}$$

Subtract 2 from 5 to get 3.

$$\frac{3}{240}$$

Reduce the fraction \frac{3}{240} to lowest terms by extracting and canceling out 3.

$$\frac{1}{80}$$

Factor

$$\frac{1}{2 ^ {4} \cdot 5} = 0.0125$$