Solve 5/40-5/200

$$\frac { 5 } { 40 } - \frac { 5 } { 200 }$$

Evaluate

$$\frac{1}{10}=0.1$$

Solution Steps

Reduce the fraction \frac{5}{40} to lowest terms by extracting and canceling out 5.

$$\frac{1}{8}-\frac{5}{200}$$

Reduce the fraction \frac{5}{200} to lowest terms by extracting and canceling out 5.

$$\frac{1}{8}-\frac{1}{40}$$

Least common multiple of 8 and 40 is 40. Convert \frac{1}{8} and \frac{1}{40} to fractions with denominator 40.

$$\frac{5}{40}-\frac{1}{40}$$

Since \frac{5}{40} and \frac{1}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-1}{40}$$

Subtract 1 from 5 to get 4.

$$\frac{4}{40}$$

Reduce the fraction \frac{4}{40} to lowest terms by extracting and canceling out 4.

$$\frac{1}{10}$$

Factor

$$\frac{1}{2 \cdot 5} = 0.1$$