a) \(\frac{x}{9}=\frac{8}{6}\Rightarrow x=\frac{8}{6}.9=\frac{4}{3}.9=12\)
b) \(\frac{12}{x}=\frac{6}{7}\Rightarrow x=12:\frac{6}{7}=12.\frac{7}{6}=14\)
c) \(5\frac{2}{3}:x=3\frac{2}{3}-2\frac{1}{2}\Rightarrow\frac{17}{3}:x=\left(3-2\right)+\left(\frac{2}{3}-\frac{1}{2}\right)\)
\(\Rightarrow\frac{17}{3}:x=1+\frac{1}{6}=\frac{7}{6}\Rightarrow x=\frac{17}{3}:\frac{7}{6}=\frac{17}{3}.\frac{6}{7}=\frac{34}{7}\)