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

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

Evaluate

$$\frac{92}{45}\approx 2.044444444$$

Solution Steps

Express 2\times \frac{2}{3} as a single fraction.

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

Multiply 2 and 2 to get 4.

$$\frac{4}{3}+\frac{1}{9}+\frac{3}{5}$$

Least common multiple of 3 and 9 is 9. Convert \frac{4}{3} and \frac{1}{9} to fractions with denominator 9.

$$\frac{12}{9}+\frac{1}{9}+\frac{3}{5}$$

Since \frac{12}{9} and \frac{1}{9} have the same denominator, add them by adding their numerators.

$$\frac{12+1}{9}+\frac{3}{5}$$

Add 12 and 1 to get 13.

$$\frac{13}{9}+\frac{3}{5}$$

Least common multiple of 9 and 5 is 45. Convert \frac{13}{9} and \frac{3}{5} to fractions with denominator 45.

$$\frac{65}{45}+\frac{27}{45}$$

Since \frac{65}{45} and \frac{27}{45} have the same denominator, add them by adding their numerators.

$$\frac{65+27}{45}$$

Add 65 and 27 to get 92.

$$\frac{92}{45}$$

Factor

$$\frac{2 ^ {2} \cdot 23}{3 ^ {2} \cdot 5} = 2\frac{2}{45} = 2.0444444444444443$$