Discussion
The fractions \(\frac{44}{49}, \frac{33}{38}, \frac{22}{25}\) and \(\frac{24}{29}\) are written in descending order as
Answer: C
The descending order is \(\frac{44}{49}, \frac{22}{25}, \frac{33}{38}, \frac{24}{29}\).
Each fraction is 1 minus a small fraction, so the fraction with the smallest gap from 1 is the largest:
\[ \begin{aligned} \tfrac{44}{49} &= 1 - \tfrac{5}{49} \approx 0.898 \\ \tfrac{22}{25} &= 1 - \tfrac{3}{25} = 0.880 \\ \tfrac{33}{38} &= 1 - \tfrac{5}{38} \approx 0.868 \\ \tfrac{24}{29} &= 1 - \tfrac{5}{29} \approx 0.828 \end{aligned} \]
The order 44/49, 33/38, 24/29, 22/25 wrongly puts 22/25 last because its numbers are small. The other two options run in ascending or mixed order.
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