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

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

Evaluate

$$\frac{77}{18}\approx 4.277777778$$

Solution Steps

Anything divided by one gives itself.

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

Convert 3 to fraction \frac{18}{6}.

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

Since \frac{18}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

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

Add 18 and 5 to get 23.

$$\frac{23}{6}+\frac{4}{9}$$

Least common multiple of 6 and 9 is 18. Convert \frac{23}{6} and \frac{4}{9} to fractions with denominator 18.

$$\frac{69}{18}+\frac{8}{18}$$

Since \frac{69}{18} and \frac{8}{18} have the same denominator, add them by adding their numerators.

$$\frac{69+8}{18}$$

Add 69 and 8 to get 77.

$$\frac{77}{18}$$

Factor

$$\frac{7 \cdot 11}{2 \cdot 3 ^ {2}} = 4\frac{5}{18} = 4.277777777777778$$