Before a basketball game, Tara, Emek, and Luna studied their team's playbook. The fast-break play had succeeded 3/4 of the time, the corner-shot play had a success rate of 0.68, and the inside-pass play had worked 7/10 of the time. To compare them fairly, Tara converted the results to percentages. The rates were 75%, 68%, and 70%. Emek saw that the fast break had the highest success rate. Luna checked the conversions, and they chose the fast break as their opening strategy.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
A decimal with two digits after the decimal point can be written as a fraction with 100 as the denominator.
The corner-shot play has a success rate of 0.68. Which fraction and percentage are equivalent to 0.68?
68/10 and 6.8%68/100 and 68%6/8 and 75%68/1000 and 6.8%Correct! 0.68 equals 68/100 and 68%.
Try again. Think of 0.68 as 68 hundredths.
Next🎉 Congrats! You got this question!
Hint
Change 7/10 to an equivalent fraction with 100 as the denominator.
The inside-pass play succeeds 7/10 of the time. Out of 100 attempts, how many successful attempts would represent the same success rate?
Correct! 7/10 is equal to 70/100, so that is 70 successes out of 100 attempts.
Try again. Multiply both 7 and 10 by the same number to make the denominator 100.
Next🎉 Congrats! You got this question!
Hint
Convert both fractions to percentages and compare the results.
The team wants to choose between the fast-break play and the inside-pass play. Which comparison correctly explains why the fast break has the higher success rate?
3/4 = 0.75 = 75%, while 7/10 = 0.70 = 70%, so the fast break is higher3/4 = 0.34 = 34%, while 7/10 = 0.17 = 17%, so the fast break is higher3/4 = 0.70 = 70%, while 7/10 = 0.75 = 75%, so the fast break is higher3/4 = 75%, while 7/10 = 70%, so both plays have the same success rateCorrect! The fast break has a 75% success rate, which is greater than 70%.
Try again. Check the equivalent decimal and percentage for each fraction before comparing them.
Next🎉🎉🎉🎉🎉🎉🎉🎉
🎉 Congrats! You finished this challenge set!
