Solve 1/4+1/8+1/10

$$\frac { 1 } { 4 } + \frac { 1 } { 8 } + \frac { 1 } { 10 }$$

Evaluate

$$\frac{19}{40}=0.475$$

Solution Steps

Least common multiple of 4 and 8 is 8. Convert \frac{1}{4} and \frac{1}{8} to fractions with denominator 8.

$$\frac{2}{8}+\frac{1}{8}+\frac{1}{10}$$

Since \frac{2}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{2+1}{8}+\frac{1}{10}$$

Add 2 and 1 to get 3.

$$\frac{3}{8}+\frac{1}{10}$$

Least common multiple of 8 and 10 is 40. Convert \frac{3}{8} and \frac{1}{10} to fractions with denominator 40.

$$\frac{15}{40}+\frac{4}{40}$$

Since \frac{15}{40} and \frac{4}{40} have the same denominator, add them by adding their numerators.

$$\frac{15+4}{40}$$

Add 15 and 4 to get 19.

$$\frac{19}{40}$$

Factor

$$\frac{19}{2 ^ {3} \cdot 5} = 0.475$$