Solve 2/9+7/15+2/15

$$\frac{ 2 }{ 9 } + \frac{ 7 }{ 15 } + \frac{ 2 }{ 15 }$$

Evaluate

$$\frac{37}{45}\approx 0.822222222$$

Solution Steps

Least common multiple of 9 and 15 is 45. Convert \frac{2}{9} and \frac{7}{15} to fractions with denominator 45.

$$\frac{10}{45}+\frac{21}{45}+\frac{2}{15}$$

Since \frac{10}{45} and \frac{21}{45} have the same denominator, add them by adding their numerators.

$$\frac{10+21}{45}+\frac{2}{15}$$

Add 10 and 21 to get 31.

$$\frac{31}{45}+\frac{2}{15}$$

Least common multiple of 45 and 15 is 45. Convert \frac{31}{45} and \frac{2}{15} to fractions with denominator 45.

$$\frac{31}{45}+\frac{6}{45}$$

Since \frac{31}{45} and \frac{6}{45} have the same denominator, add them by adding their numerators.

$$\frac{31+6}{45}$$

Add 31 and 6 to get 37.

$$\frac{37}{45}$$

Factor

$$\frac{37}{3 ^ {2} \cdot 5} = 0.8222222222222222$$