Solve 1/2-(1/8-1/10)=

$$\frac { 1 } { 2 } - ( \frac { 1 } { 8 } - \frac { 1 } { 10 } ) =$$

Evaluate

$$\frac{19}{40}=0.475$$

Solution Steps

Least common multiple of 8 and 10 is 40. Convert \frac{1}{8} and \frac{1}{10} to fractions with denominator 40.

$$\frac{1}{2}-\left(\frac{5}{40}-\frac{4}{40}\right)$$

Since \frac{5}{40} and \frac{4}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{2}-\frac{5-4}{40}$$

Subtract 4 from 5 to get 1.

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

Least common multiple of 2 and 40 is 40. Convert \frac{1}{2} and \frac{1}{40} to fractions with denominator 40.

$$\frac{20}{40}-\frac{1}{40}$$

Since \frac{20}{40} and \frac{1}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-1}{40}$$

Subtract 1 from 20 to get 19.

$$\frac{19}{40}$$

Factor

$$\frac{19}{2 ^ {3} \cdot 5} = 0.475$$