The difference of the greatest and smallest of the fractions $\frac{1}{2}$, $\frac{8}{11}$, $\frac{7}{8}$, $\frac{7}{9}$, $\frac{5}{6}$

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To find the difference between the greatest and smallest fractions, we need to first identify them:

1. **Convert each fraction to decimal form for easy comparison:**
   - $\frac{1}{2} = 0.5$
   - $\frac{8}{11} \approx 0.7273$
   - $\frac{7}{8} = 0.875$
   - $\frac{7}{9} \approx 0.7778$
   - $\frac{5}{6} \approx 0.8333$

2. **Identify the greatest and smallest fractions:**
   - The greatest fraction is $\frac{7}{8} = 0.875$
   - The smallest fraction is $\frac{1}{2} = 0.5$

3. **Calculate the difference:**
   $\frac{7}{8} - \frac{1}{2} = \frac{7}{8} - \frac{4}{8} = \frac{3}{8}$

Therefore, the difference between the greatest and smallest fractions is $\frac{3}{8}$.

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