Solve 2/3+4/9+8/6

$$\frac { 2 } { 3 } + \frac { 4 } { 9 } + \frac { 8 } { 6 }$$

Evaluate

$$\frac{22}{9}\approx 2.444444444$$

Solution Steps

Least common multiple of 3 and 9 is 9. Convert \frac{2}{3} and \frac{4}{9} to fractions with denominator 9.

$$\frac{6}{9}+\frac{4}{9}+\frac{8}{6}$$

Since \frac{6}{9} and \frac{4}{9} have the same denominator, add them by adding their numerators.

$$\frac{6+4}{9}+\frac{8}{6}$$

Add 6 and 4 to get 10.

$$\frac{10}{9}+\frac{8}{6}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$\frac{10}{9}+\frac{4}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{10}{9} and \frac{4}{3} to fractions with denominator 9.

$$\frac{10}{9}+\frac{12}{9}$$

Since \frac{10}{9} and \frac{12}{9} have the same denominator, add them by adding their numerators.

$$\frac{10+12}{9}$$

Add 10 and 12 to get 22.

$$\frac{22}{9}$$

Factor

$$\frac{2 \cdot 11}{3 ^ {2}} = 2\frac{4}{9} = 2.4444444444444446$$