Solve 1/2+2/5+3/4

$$\frac{ 1 }{ 2 } + \frac{ 2 }{ 5 } + \frac{ 3 }{ 4 }$$

Evaluate

$$\frac{33}{20}=1.65$$

Solution Steps

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

$$\frac{5}{10}+\frac{4}{10}+\frac{3}{4}$$

Since \frac{5}{10} and \frac{4}{10} have the same denominator, add them by adding their numerators.

$$\frac{5+4}{10}+\frac{3}{4}$$

Add 5 and 4 to get 9.

$$\frac{9}{10}+\frac{3}{4}$$

Least common multiple of 10 and 4 is 20. Convert \frac{9}{10} and \frac{3}{4} to fractions with denominator 20.

$$\frac{18}{20}+\frac{15}{20}$$

Since \frac{18}{20} and \frac{15}{20} have the same denominator, add them by adding their numerators.

$$\frac{18+15}{20}$$

Add 18 and 15 to get 33.

$$\frac{33}{20}$$

Factor

$$\frac{3 \cdot 11}{2 ^ {2} \cdot 5} = 1\frac{13}{20} = 1.65$$