Solve (1/2+3/4-2/5)

$$( \frac{ 1 }{ 2 } + \frac{ 3 }{ 4 } - \frac{ 2 }{ 5 } )$$

Evaluate

$$\frac{17}{20}=0.85$$

Solution Steps

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{3}{4} to fractions with denominator 4.

$$\frac{2}{4}+\frac{3}{4}-\frac{2}{5}$$

Since \frac{2}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{2+3}{4}-\frac{2}{5}$$

Add 2 and 3 to get 5.

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

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

$$\frac{25}{20}-\frac{8}{20}$$

Since \frac{25}{20} and \frac{8}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-8}{20}$$

Subtract 8 from 25 to get 17.

$$\frac{17}{20}$$

Factor

$$\frac{17}{2 ^ {2} \cdot 5} = 0.85$$