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

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

Evaluate

$$\frac{23}{20}=1.15$$

Solution Steps

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

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

Since \frac{2}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

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

Add 2 and 1 to get 3.

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

Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{2}{5} to fractions with denominator 20.

$$\frac{15}{20}+\frac{8}{20}$$

Since \frac{15}{20} and \frac{8}{20} have the same denominator, add them by adding their numerators.

$$\frac{15+8}{20}$$

Add 15 and 8 to get 23.

$$\frac{23}{20}$$

Factor

$$\frac{23}{2 ^ {2} \cdot 5} = 1\frac{3}{20} = 1.15$$