Solve 4+5/6+11/9=

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

Evaluate

$$\frac{107}{18}\approx 5.944444444$$

Solution Steps

Convert 4 to fraction \frac{24}{6}.

$$\frac{24}{6}+\frac{5}{6}+\frac{1\times 9+1}{9}$$

Since \frac{24}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{24+5}{6}+\frac{1\times 9+1}{9}$$

Add 24 and 5 to get 29.

$$\frac{29}{6}+\frac{1\times 9+1}{9}$$

Multiply 1 and 9 to get 9.

$$\frac{29}{6}+\frac{9+1}{9}$$

Add 9 and 1 to get 10.

$$\frac{29}{6}+\frac{10}{9}$$

Least common multiple of 6 and 9 is 18. Convert \frac{29}{6} and \frac{10}{9} to fractions with denominator 18.

$$\frac{87}{18}+\frac{20}{18}$$

Since \frac{87}{18} and \frac{20}{18} have the same denominator, add them by adding their numerators.

$$\frac{87+20}{18}$$

Add 87 and 20 to get 107.

$$\frac{107}{18}$$

Factor

$$\frac{107}{2 \cdot 3 ^ {2}} = 5\frac{17}{18} = 5.944444444444445$$