Ling sprinted 11 3/8 laps and then took a break by jogging 5 7/8 laps. How much farther did Ling sprint than jog?Write your answer as a fraction or as a whole or mixed number.
Question
Ling sprinted 11 3/8 laps and then took a break by jogging 5 7/8 laps. How much farther did Ling sprint than jog?Write your answer as a fraction or as a whole or mixed number.
Solution
First, we need to find the difference between the distance Ling sprinted and the distance she jogged.
Ling sprinted 11 3/8 laps and jogged 5 7/8 laps.
To find the difference, we subtract the smaller number (the distance jogged) from the larger number (the distance sprinted).
So, 11 3/8 - 5 7/8 = ?
To subtract these mixed numbers, we first subtract the whole numbers:
11 - 5 = 6
Then we subtract the fractions:
3/8 - 7/8 = -4/8
Since we can't have a negative fraction, we borrow 1 from the whole number part. The 1 we borrowed becomes 8/8 (since there are 8 eighths in 1 whole). We add this to our -4/8 to get 4/8.
So, the difference is 5 (the whole number after borrowing 1) and 4/8 (the fraction after adding 8/8).
But 4/8 can be simplified to 1/2 by dividing both the numerator and denominator by their greatest common divisor, which is 4.
So, Ling sprinted 5 1/2 laps farther than she jogged.
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