Solve 2/3+8/9+3/5=

$$\frac { 2 } { 3 } + \frac { 8 } { 9 } + \frac { 3 } { 5 } =$$

Evaluate

$$\frac{97}{45}\approx 2.155555556$$

Solution Steps

Least common multiple of 3 and 9 is 9. Convert \frac{2}{3} and \frac{8}{9} to fractions with denominator 9.

$$\frac{6}{9}+\frac{8}{9}+\frac{3}{5}$$

Since \frac{6}{9} and \frac{8}{9} have the same denominator, add them by adding their numerators.

$$\frac{6+8}{9}+\frac{3}{5}$$

Add 6 and 8 to get 14.

$$\frac{14}{9}+\frac{3}{5}$$

Least common multiple of 9 and 5 is 45. Convert \frac{14}{9} and \frac{3}{5} to fractions with denominator 45.

$$\frac{70}{45}+\frac{27}{45}$$

Since \frac{70}{45} and \frac{27}{45} have the same denominator, add them by adding their numerators.

$$\frac{70+27}{45}$$

Add 70 and 27 to get 97.

$$\frac{97}{45}$$

Factor

$$\frac{97}{3 ^ {2} \cdot 5} = 2\frac{7}{45} = 2.1555555555555554$$