Solve 2/5+3/10+1/4=

$$\frac { 2 } { 5 } + \frac { 3 } { 10 } + \frac { 1 } { 4 } =$$

Evaluate

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

Solution Steps

Least common multiple of 5 and 10 is 10. Convert \frac{2}{5} and \frac{3}{10} to fractions with denominator 10.

$$\frac{4}{10}+\frac{3}{10}+\frac{1}{4}$$

Since \frac{4}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

$$\frac{4+3}{10}+\frac{1}{4}$$

Add 4 and 3 to get 7.

$$\frac{7}{10}+\frac{1}{4}$$

Least common multiple of 10 and 4 is 20. Convert \frac{7}{10} and \frac{1}{4} to fractions with denominator 20.

$$\frac{14}{20}+\frac{5}{20}$$

Since \frac{14}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

$$\frac{14+5}{20}$$

Add 14 and 5 to get 19.

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

Factor

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