Solve 2/5+1/4+7/10

$$\frac{ 2 }{ 5 } + \frac{ 1 }{ 4 } + \frac{ 7 }{ 10 }$$

Evaluate

$$\frac{27}{20}=1.35$$

Solution Steps

Least common multiple of 5 and 4 is 20. Convert \frac{2}{5} and \frac{1}{4} to fractions with denominator 20.

$$\frac{8}{20}+\frac{5}{20}+\frac{7}{10}$$

Since \frac{8}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

$$\frac{8+5}{20}+\frac{7}{10}$$

Add 8 and 5 to get 13.

$$\frac{13}{20}+\frac{7}{10}$$

Least common multiple of 20 and 10 is 20. Convert \frac{13}{20} and \frac{7}{10} to fractions with denominator 20.

$$\frac{13}{20}+\frac{14}{20}$$

Since \frac{13}{20} and \frac{14}{20} have the same denominator, add them by adding their numerators.

$$\frac{13+14}{20}$$

Add 13 and 14 to get 27.

$$\frac{27}{20}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {2} \cdot 5} = 1\frac{7}{20} = 1.35$$