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

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

Evaluate

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

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, add them by adding their numerators.

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

Add 25 and 8 to get 33.

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

Factor

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