Verified answer

[tex]3 \frac{5}{11} \div 3.6 = \frac{3 \times 11 + 5}{11} \div 3 \frac{3}{5} = \\ = \frac{38}{11} \div \frac{15 + 3}{5} = \frac{38}{11} \times \frac{5}{18} = \\ = \frac{19 \times 5}{11 \times 9} = \frac{95}{99} [/tex]