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Answer:
[tex]-\dfrac{3}{5}[/tex]
Step-by-step explanation:
1. Find the numerator:
[tex]\dfrac{1}{3}-\dfrac{5}{6}=\dfrac{1\cdot 2}{3\cdot 2}-\dfrac{5}{6}=\dfrac{2}{6}-\dfrac{5}{6}=\dfrac{2-5}{6}=-\dfrac{3}{6}=-\dfrac{1}{2}.[/tex]
2. Simplify the fraction:
[tex]\dfrac{-\frac{1}{2}}{\frac{5}{6}}=-\dfrac{1}{2}\cdot \dfrac{6}{5}=-\dfrac{3}{5}.[/tex]