2 \frac{7}{9}: 1 \frac{2}{3}= \frac{25}{9}:\frac{5}{3}=\frac{\not25^5}{\not9^3}*\frac{\not3^1}{\not5^1}=\frac{5}{3}=1\frac{2}{3}
1 \frac{2}{3}:2 \frac{7}{9}=\frac{5}{3}:\frac{25}{9}=\frac{5}{3}:\frac{25}{9}=\frac{\not5^1}{\not3^1}*\frac{\not9^3}{\not25^5}=\frac{3}{5}
4: 6 \frac{2}{5} =4:\frac{32}{5}=\not4^1*\frac{5}{\not32^8}=\frac{5}{8}
6\frac{2}{9}: 7=\frac{56}{9}*\frac{1}{7}=\frac{56}{63}