To compare the laps completed by Sara, Jamie, Keenan, Maya, and Trey, we will convert each of their results to fractions of the total 20 laps.
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Sara completed \( \frac{4}{5} \) of the total laps: \[ \text{Laps by Sara} = \frac{4}{5} \times 20 = 16 \]
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Jamie completed \( \frac{5}{8} \) of the total laps: \[ \text{Laps by Jamie} = \frac{5}{8} \times 20 = 12.5 \]
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Keenan completed \( \frac{5}{9} \) of the total laps: \[ \text{Laps by Keenan} = \frac{5}{9} \times 20 = \frac{100}{9} \approx 11.11 \]
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Maya completed \( 0.833 \) of the total laps: \[ \text{Laps by Maya} = 0.833 \times 20 \approx 16.66 \]
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Trey completed \( 0.875 \) of the total laps: \[ \text{Laps by Trey} = 0.875 \times 20 = 17.5 \]
Now we list the total laps completed by each runner:
- Sara: 16 laps
- Jamie: 12.5 laps
- Keenan: \( \frac{100}{9} \) laps (approximately 11.11)
- Maya: approximately 16.66 laps
- Trey: 17.5 laps
Now we will sort them into descending order:
- Trey: 17.5 laps (0.875)
- Maya: approximately 16.66 laps (0.833)
- Sara: 16 laps (4/5)
- Jamie: 12.5 laps (5/8)
- Keenan: approximately 11.11 laps (\( \frac{5}{9} \))
In original forms, the laps completed in descending order are:
- Trey: 0.875
- Maya: 0.833
- Sara: \( \frac{4}{5} \)
- Jamie: \( \frac{5}{8} \)
- Keenan: \( \frac{5}{9} \)
So the final answer in descending order is:
- 0.875
- 0.833
- \( \frac{4}{5} \)
- \( \frac{5}{8} \)
- \( \frac{5}{9} \)