[tex]\it a)\ 4\dfrac{1}{6}:\dfrac{5}{4}=\dfrac{25}{6}\cdot\dfrac{4}{5}=\dfrac{\ 100^{(10}}{30}=\dfrac{10}{3}\\ \\ \\ b)\ \dfrac{8}{9}:5 \dfrac{1}{3}= \dfrac{8}{9}:\dfrac{16}{3}= \dfrac{8}{9}\cdot \dfrac{3}{16}= \dfrac{1}{6}[/tex]
Observații :
[tex]\it 4\dfrac{1}{6}=\dfrac{6\cdot4+1}{6}=\dfrac{25}{6}\\ \\ \\ \dfrac{a}{b}:\dfrac{x}{y}=\dfrac{a}{b}\cdot\dfrac{y}{x}\\ \\ \\ 5\dfrac{1}{3}=\dfrac{3\cdot5+1}{3}=\dfrac{16}{3}[/tex]
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c)
[tex]\it 2 \dfrac{1}{6}:4 \dfrac{1}{3}= \dfrac{13}{6}: \dfrac{13}{3}= \dfrac{13}{6}\cdot \dfrac{3}{13}= \dfrac{\ 3^{(3}}{6}= \dfrac{1}{2}[/tex]
