Solve 4/9+6/18+5/3

$$\frac { 4 } { 9 } + \frac { 6 } { 18 } + \frac { 5 } { 3 }$$

Evaluate

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

Solution Steps

Reduce the fraction \frac{6}{18} to lowest terms by extracting and canceling out 6.

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

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

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

Since \frac{4}{9} and \frac{3}{9} have the same denominator, add them by adding their numerators.

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

Add 4 and 3 to get 7.

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

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

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

Since \frac{7}{9} and \frac{15}{9} have the same denominator, add them by adding their numerators.

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

Add 7 and 15 to get 22.

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

Factor

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