Solve 2/5+2/9

$$\frac { 2 } { 5 } + \frac { 2 } { 9 }$$

Evaluate

$$\frac{28}{45}\approx 0.622222222$$

Solution Steps

Least common multiple of 5 and 9 is 45. Convert \frac{2}{5} and \frac{2}{9} to fractions with denominator 45.

$$\frac{18}{45}+\frac{10}{45}$$

Since \frac{18}{45} and \frac{10}{45} have the same denominator, add them by adding their numerators.

$$\frac{18+10}{45}$$

Add 18 and 10 to get 28.

$$\frac{28}{45}$$

Factor

$$\frac{2 ^ {2} \cdot 7}{3 ^ {2} \cdot 5} = 0.6222222222222222$$