Duncan trimmed 1/10 of the bushes in his yard. Edgar trimmed 2/3 of the bushes in his yard. Who has trimmed a greater fraction of his bushes?
Sample Answer
To determine who has trimmed a greater fraction of his bushes between Duncan and Edgar, we need to compare the fractions they have trimmed.
Duncan trimmed 1/10 of his bushes, which can be represented as 1/10.
Edgar trimmed 2/3 of his bushes, which can be represented as 2/3.
To compare these fractions, we need to find a common denominator. The least common multiple of 10 and 3 is 30.
Converting 1/10 to have a denominator of 30:
1/10 = 3/30
Converting 2/3 to have a denominator of 30:
2/3 = 20/30
Now we can see that Duncan trimmed 3/30 of his bushes and Edgar trimmed 20/30 of his bushes.
Comparing these fractions, we find that Edgar has trimmed a greater fraction of his bushes as he trimmed 20/30, which is greater than Duncan’s fraction of 3/30.
Therefore, Edgar has trimmed a greater fraction of his bushes compared to Duncan.