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

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

Evaluate

$$\frac{19}{20}=0.95$$

Solution Steps

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

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

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

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

Add 2 and 1 to get 3.

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

Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{1}{5} to fractions with denominator 20.

$$\frac{15}{20}+\frac{4}{20}$$

Since \frac{15}{20} and \frac{4}{20} have the same denominator, add them by adding their numerators.

$$\frac{15+4}{20}$$

Add 15 and 4 to get 19.

$$\frac{19}{20}$$

Factor

$$\frac{19}{2 ^ {2} \cdot 5} = 0.95$$