At track practice, Tara, Emek, and Luna checked the playbook before the team's final relay session. Three runners had completed different amounts of their training plans: one had finished 7/8, another 0.80, and another 85%. To compare their progress, they changed the values to percentages. They found that 7/8 was 87.5%, 0.80 was 80%, and 85% stayed the same. The runner at 80% had completed the least. They organized the final practice to give that runner extra training while the others worked on relay handoffs.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Convert 7/8 to a percentage before comparing it with 85%.
Emek says that 7/8 is less than 85% because 7 is less than 85. Which statement correctly checks his reasoning?
Emek is correct because 7 is less than 85Emek is correct because 7/8 equals 78%Emek is not correct because 7/8 equals 87.5%, which is greater than 85%Emek is not correct because 7/8 equals 80%, which is less than 85%Correct! 7/8 equals 87.5%, so it is greater than 85%.
Try again. The values should be written in the same form before they are compared.
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Hint
Find the difference between the new percentage and the original percentage.
The runner at 80% gets extra training and reaches 90% of the training plan. By how many percentage points did the runner's completion increase?
Correct! The runner's completion increased by 10 percentage points.
Try again. Subtract the original 80% from the new 90%.
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Hint
Write all three amounts as decimals, then compare them.
Luna wants to verify which runner had completed the most training before the final practice. Which comparison is correct?
0.80 = 80%, and 80% is the greatest of the three rates85% = 0.85, and 0.85 is greater than 0.8757/8 = 0.78, and 0.78 is the greatest of the three rates7/8 = 0.875, 85% = 0.85, and 0.80 = 0.80, so 7/8 is the greatestCorrect! 0.875 is greater than 0.85 and 0.80, so the runner at 7/8 had completed the most.
Try again. Check each conversion, then compare the three decimals.
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