Solve 8/18+2/3+4/6

$$\frac { 8 } { 18 } + \frac { 2 } { 3 } + \frac { 4 } { 6 }$$

Evaluate

$$\frac{16}{9}\approx 1.777777778$$

Solution Steps

Reduce the fraction \frac{8}{18} to lowest terms by extracting and canceling out 2.

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

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

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

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

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

Add 4 and 6 to get 10.

$$\frac{10}{9}+\frac{4}{6}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{10}{9}+\frac{2}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{10}{9} and \frac{2}{3} to fractions with denominator 9.

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

Since \frac{10}{9} and \frac{6}{9} have the same denominator, add them by adding their numerators.

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

Add 10 and 6 to get 16.

$$\frac{16}{9}$$

Factor

$$\frac{2 ^ {4}}{3 ^ {2}} = 1\frac{7}{9} = 1.7777777777777777$$