Solve 1/2-1/8-1/40

$$\frac{ 1 }{ 2 } - \frac{ 1 }{ 8 } - \frac{ 1 }{ 40 }$$

Evaluate

$$\frac{7}{20}=0.35$$

Solution Steps

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{1}{8} to fractions with denominator 8.

$$\frac{4}{8}-\frac{1}{8}-\frac{1}{40}$$

Since \frac{4}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-1}{8}-\frac{1}{40}$$

Subtract 1 from 4 to get 3.

$$\frac{3}{8}-\frac{1}{40}$$

Least common multiple of 8 and 40 is 40. Convert \frac{3}{8} and \frac{1}{40} to fractions with denominator 40.

$$\frac{15}{40}-\frac{1}{40}$$

Since \frac{15}{40} and \frac{1}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-1}{40}$$

Subtract 1 from 15 to get 14.

$$\frac{14}{40}$$

Reduce the fraction \frac{14}{40} to lowest terms by extracting and canceling out 2.

$$\frac{7}{20}$$

Factor

$$\frac{7}{2 ^ {2} \cdot 5} = 0.35$$