Solve 2/5-1/4-1/10

$$\frac{ 2 }{ 5 } - \frac{ 1 }{ 4 } - \frac{ 1 }{ 10 }$$

Evaluate

$$\frac{1}{20}=0.05$$

Solution Steps

Least common multiple of 5 and 4 is 20. Convert \frac{2}{5} and \frac{1}{4} to fractions with denominator 20.

$$\frac{8}{20}-\frac{5}{20}-\frac{1}{10}$$

Since \frac{8}{20} and \frac{5}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-5}{20}-\frac{1}{10}$$

Subtract 5 from 8 to get 3.

$$\frac{3}{20}-\frac{1}{10}$$

Least common multiple of 20 and 10 is 20. Convert \frac{3}{20} and \frac{1}{10} to fractions with denominator 20.

$$\frac{3}{20}-\frac{2}{20}$$

Since \frac{3}{20} and \frac{2}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-2}{20}$$

Subtract 2 from 3 to get 1.

$$\frac{1}{20}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 5} = 0.05$$