Solve 2/3+1/9+3/5=

$$\frac { 2 } { 3 } + \frac { 1 } { 9 } + \frac { 3 } { 5 } =$$

Evaluate

$$\frac{62}{45}\approx 1.377777778$$

Solution Steps

Least common multiple of 3 and 9 is 9. Convert \frac{2}{3} and \frac{1}{9} to fractions with denominator 9.

$$\frac{6}{9}+\frac{1}{9}+\frac{3}{5}$$

Since \frac{6}{9} and \frac{1}{9} have the same denominator, add them by adding their numerators.

$$\frac{6+1}{9}+\frac{3}{5}$$

Add 6 and 1 to get 7.

$$\frac{7}{9}+\frac{3}{5}$$

Least common multiple of 9 and 5 is 45. Convert \frac{7}{9} and \frac{3}{5} to fractions with denominator 45.

$$\frac{35}{45}+\frac{27}{45}$$

Since \frac{35}{45} and \frac{27}{45} have the same denominator, add them by adding their numerators.

$$\frac{35+27}{45}$$

Add 35 and 27 to get 62.

$$\frac{62}{45}$$

Factor

$$\frac{2 \cdot 31}{3 ^ {2} \cdot 5} = 1\frac{17}{45} = 1.3777777777777778$$