The Blue Knights soccer team is practicing kicking the soccer ball into the goal. To
begin, each player attempts kicks for 2 minutes and then reports the fraction of
goals they made. Brad, Alice, and Andre report the following fractions:
Player Goals Made
Brad
4
5
Alice
1
2
Andre
4
6
Graph each fraction on a number line.
Which of these players made the greatest fraction of goals?
To graph each fraction on a number line, we need to find a common denominator for each fraction. The fractions reported are:
Brad: 4/5
Alice: 1/2
Andre: 4/6
To find a common denominator, we can list the multiples of each denominator:
For 5: 5, 10, 15, 20, 25, ...
For 2: 2, 4, 6, 8, 10, ...
For 6: 6, 12, 18, 24, ...
From this list, we can see that the least common multiple (LCM) of 5, 2, and 6 is 30. So, we can rewrite the fractions as:
Brad: 24/30
Alice: 15/30
Andre: 20/30
Now, we can graph these fractions on a number line labeled from 0 to 1. We divide the line segment into 30 equal parts, and mark the points corresponding to each fraction:
0 1/30 2/30 3/30 4/30 5/30 6/30 7/30 8/30 9/30 10/30 11/30 12/30 13/30 14/30 15/30 16/30 17/30 18/30 19/30 20/30 21/30 22/30 23/30 24/30 25/30 26/30 27/30 28/30 29/30 1
Brad's fraction of 24/30 falls between the points 23/30 and 25/30.
Alice's fraction of 15/30 falls exactly on the point 15/30.
Andre's fraction of 20/30 falls exactly on the point 20/30.
From the number line, we can see that Brad made the greatest fraction of goals because his fraction is the greatest among the three.
Can this be a little shorter?
Sure! To graph the fractions on a number line, we find a common denominator for Brad, Alice, and Andre's fractions, which is 30. Then we rewrite the fractions as:
Brad: 24/30
Alice: 15/30
Andre: 20/30
On a number line labeled from 0 to 1, we can mark the points corresponding to each fraction:
Brad: between 23/30 and 25/30
Alice: 15/30
Andre: 20/30
From the number line, we can see that Brad made the greatest fraction of goals because his fraction is the greatest among the three.
little bit more shorter please
Sure! To graph the fractions on a number line, we find a common denominator of 30 for Brad, Alice, and Andre's fractions. The fractions are:
Brad: 24/30
Alice: 15/30
Andre: 20/30
From the number line, Brad made the greatest fraction of goals.
Perfect! Thank you very much!
You're welcome! I'm glad I could help. Let me know if there's anything else I can assist you with.
Wait just a little medium
Sure! Here's a medium-length version:
To graph the fractions on a number line, we first find a common denominator for Brad, Alice, and Andre's fractions, which is 30. The fractions are:
Brad: 24/30
Alice: 15/30
Andre: 20/30
We can then mark the corresponding points on a number line from 0 to 1:
Brad: between 23/30 and 25/30
Alice: 15/30
Andre: 20/30
From the number line, it is evident that Brad made the greatest fraction of goals among the three players.