Hugo sprinted 2/3 of a lap and then took a break by jogging 7/15 of a lap. How much farther did Hugo sprint than jog?
Question
Hugo sprinted 2/3 of a lap and then took a break by jogging 7/15 of a lap. How much farther did Hugo sprint than jog?
Solution
To find out how much farther Hugo sprinted than jogged, we need to subtract the distance he jogged from the distance he sprinted.
First, we know that Hugo sprinted 2/3 of a lap and jogged 7/15 of a lap.
So, we subtract 7/15 from 2/3:
2/3 - 7/15
To subtract these fractions, we need to find a common denominator. The least common denominator of 3 and 15 is 15.
We convert 2/3 to 10/15 (by multiplying both the numerator and denominator by 5).
So now we subtract 10/15 - 7/15 = 3/15
Therefore, Hugo sprinted 3/15 of a lap farther than he jogged.
This fraction can be simplified to 1/5. So, Hugo sprinted 1/5 of a lap farther than he jogged.
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