Solve +42/9+25/18quad11

$$+ 4 \frac { 2 } { 9 } + 2 \frac { 5 } { 18 } \quad 11$$

Evaluate

$$\frac{527}{18}\approx 29.277777778$$

Solution Steps

Multiply 4 and 9 to get 36.

$$\frac{36+2}{9}+\frac{2\times 18+5}{18}\times 11$$

Add 36 and 2 to get 38.

$$\frac{38}{9}+\frac{2\times 18+5}{18}\times 11$$

Multiply 2 and 18 to get 36.

$$\frac{38}{9}+\frac{36+5}{18}\times 11$$

Add 36 and 5 to get 41.

$$\frac{38}{9}+\frac{41}{18}\times 11$$

Express \frac{41}{18}\times 11 as a single fraction.

$$\frac{38}{9}+\frac{41\times 11}{18}$$

Multiply 41 and 11 to get 451.

$$\frac{38}{9}+\frac{451}{18}$$

Least common multiple of 9 and 18 is 18. Convert \frac{38}{9} and \frac{451}{18} to fractions with denominator 18.

$$\frac{76}{18}+\frac{451}{18}$$

Since \frac{76}{18} and \frac{451}{18} have the same denominator, add them by adding their numerators.

$$\frac{76+451}{18}$$

Add 76 and 451 to get 527.

$$\frac{527}{18}$$

Factor

$$\frac{17 \cdot 31}{2 \cdot 3 ^ {2}} = 29\frac{5}{18} = 29.27777777777778$$