Discussion
Which of the following fractions are in descending order ?
Answer: C
The descending order is \(\frac{4}{5}, \frac{8}{11}, \frac{5}{9}, \frac{3}{7}\).
Compare the fractions as decimals:
\[ \begin{aligned} \tfrac{4}{5} &= 0.8 \\ \tfrac{8}{11} &\approx 0.727 \\ \tfrac{5}{9} &\approx 0.556 \\ \tfrac{3}{7} &\approx 0.429 \end{aligned} \]
Each value is smaller than the one before, so this order is descending. The first option is the same list in ascending order. The second puts \(\frac{4}{5}\) after smaller fractions, and the fourth puts \(\frac{4}{5}\) second and \(\frac{8}{11}\) last, so neither is in order.
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