Solve 1-(2/5+1/10)=

$$1 - ( \frac { 2 } { 5 } + \frac { 1 } { 10 } ) =$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Least common multiple of 5 and 10 is 10. Convert \frac{2}{5} and \frac{1}{10} to fractions with denominator 10.

$$1-\left(\frac{4}{10}+\frac{1}{10}\right)$$

Since \frac{4}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$1-\frac{4+1}{10}$$

Add 4 and 1 to get 5.

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

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

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

Convert 1 to fraction \frac{2}{2}.

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

Since \frac{2}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 2 to get 1.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$