[tex]a)\\\\\frac{8}{1\frac{2}{3}}=8:1\frac{2}{3}=8:\frac{5}{3}=8*\frac{3}{5}=\frac{24}{5}=4\frac{4}{5}\\\\b)\\\\\frac{\frac{1}{2}*\frac{5}{6}}{5}=\frac{\frac{5}{12}}{5}=\frac{5}{12}:5=\frac{\not{5}^1}{12}*\frac{1}{\not{5}^1}= \frac{1}{12}\\\\c)\\\\\frac{\frac{1}{3}}{1\frac{4}{9}}=\frac{1}{3}:1\frac{4}{9}=\frac{1}{3}:\frac{13}{9}=\frac{1}{\not{3}^1}*\frac{\not{9}^3}{13}=\frac{3}{13}[/tex]
[tex]d)\\\\\frac{13}{2\frac{1}{6}*\frac{3}{4}}=\frac{13}{ \frac{13}{\not{6}^2}*\frac{\not{3}^1}{4}}= \frac{13}{\frac{13}{4}}=13:\frac{13}{4}=\not{13}^1*\frac{4}{\not{13}^1 } =4\\\\e)\\\\\frac{1}{3}*\frac{1\frac{1}{2}}{\frac{2}{3}}=\frac{1}{3}*1\frac{1}{2}:\frac{2}{3}=\frac{1}{\not{3}^1}*\frac{\not{3}^1}{2}*\frac{3}{2}= \frac{3}{4}\\\\f)\\\\\frac{2}{7}:\frac{\frac{1}{7}}{3}=\frac{2}{7}:(\frac{1}{7}:3)= \frac{2}{7}:(\frac{1}{7}* \frac{1}{3} )=\frac{2}{7}:\frac{1}{21}=\frac{2}{\not{7}^1}*\frac{\not{21}^3}{1}=6[/tex]
