Solve 34/9+111/18

$$3 \frac { 4 } { 9 } + 1 \frac { 11 } { 18 }$$

Evaluate

$$\frac{91}{18}\approx 5.055555556$$

Solution Steps

Multiply 3 and 9 to get 27.

$$\frac{27+4}{9}+\frac{1\times 18+11}{18}$$

Add 27 and 4 to get 31.

$$\frac{31}{9}+\frac{1\times 18+11}{18}$$

Multiply 1 and 18 to get 18.

$$\frac{31}{9}+\frac{18+11}{18}$$

Add 18 and 11 to get 29.

$$\frac{31}{9}+\frac{29}{18}$$

Least common multiple of 9 and 18 is 18. Convert \frac{31}{9} and \frac{29}{18} to fractions with denominator 18.

$$\frac{62}{18}+\frac{29}{18}$$

Since \frac{62}{18} and \frac{29}{18} have the same denominator, add them by adding their numerators.

$$\frac{62+29}{18}$$

Add 62 and 29 to get 91.

$$\frac{91}{18}$$

Factor

$$\frac{7 \cdot 13}{2 \cdot 3 ^ {2}} = 5\frac{1}{18} = 5.055555555555555$$