Solve 1/9+4/3+5/6

$$\frac { 1 } { 9 } + \frac { 4 } { 3 } + \frac { 5 } { 6 }$$

Evaluate

$$\frac{41}{18}\approx 2.277777778$$

Solution Steps

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

$$\frac{1}{9}+\frac{12}{9}+\frac{5}{6}$$

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

$$\frac{1+12}{9}+\frac{5}{6}$$

Add 1 and 12 to get 13.

$$\frac{13}{9}+\frac{5}{6}$$

Least common multiple of 9 and 6 is 18. Convert \frac{13}{9} and \frac{5}{6} to fractions with denominator 18.

$$\frac{26}{18}+\frac{15}{18}$$

Since \frac{26}{18} and \frac{15}{18} have the same denominator, add them by adding their numerators.

$$\frac{26+15}{18}$$

Add 26 and 15 to get 41.

$$\frac{41}{18}$$

Factor

$$\frac{41}{2 \cdot 3 ^ {2}} = 2\frac{5}{18} = 2.2777777777777777$$