Question

Simplify: $2\frac{2}{8}÷\frac{5}{9}-\frac{6}{18}\times 8\frac{8}{8}+9\frac{2}{18}$

Answer 1

$2\frac{2}{8}÷\frac{5}{9}-\frac{6}{18}\times 8\frac{8}{8}+9\frac{2}{18}$

$=2\frac{1}{4}÷\frac{5}{9}-\frac{1}{3}\times 9+9\frac{1}{9}$

$=\frac{9}{4}\times \frac{9}{5}-\frac{1}{3}\times 9+\frac{82}{9}$

$=\frac{9}{4}\times \frac{9}{5}-\frac{1}{3}\times 9+\frac{82}{9}$

$=\frac{81}{20}-3+\frac{82}{9}$

$=\frac{180-540+1640}{180}$

$=\frac{1280}{180}$

$=\frac{64}{9}=7\frac{1}{9}$