Solve 1/5+2/10-1/20

$$\frac { 1 } { 5 } + \frac { 2 } { 10 } - \frac { 1 } { 20 }$$

Evaluate

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

Solution Steps

Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{5}+\frac{1}{5}-\frac{1}{20}$$

Since \frac{1}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.

$$\frac{1+1}{5}-\frac{1}{20}$$

Add 1 and 1 to get 2.

$$\frac{2}{5}-\frac{1}{20}$$

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

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

Since \frac{8}{20} and \frac{1}{20} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 8 to get 7.

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

Factor

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