Solve 2/5+1/2+2/7

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

Evaluate

$$\frac{83}{70}\approx 1.185714286$$

Solution Steps

Least common multiple of 5 and 2 is 10. Convert \frac{2}{5} and \frac{1}{2} to fractions with denominator 10.

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

Since \frac{4}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

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

Add 4 and 5 to get 9.

$$\frac{9}{10}+\frac{2}{7}$$

Least common multiple of 10 and 7 is 70. Convert \frac{9}{10} and \frac{2}{7} to fractions with denominator 70.

$$\frac{63}{70}+\frac{20}{70}$$

Since \frac{63}{70} and \frac{20}{70} have the same denominator, add them by adding their numerators.

$$\frac{63+20}{70}$$

Add 63 and 20 to get 83.

$$\frac{83}{70}$$

Factor

$$\frac{83}{2 \cdot 5 \cdot 7} = 1\frac{13}{70} = 1.1857142857142857$$