Final answer:
Lauren spent 1/10 of her time walking and 7/25 of her time jogging, so she spent the remaining 31/50 of her time running.
Step-by-step explanation:
Lauren spends her exercise time walking, jogging, and running. To find out what part of her time she spent running, we'll need to subtract the fractions of time spent walking and jogging from the total time.
She spent 1/10 of her time walking and 7/25 of her time jogging. Since there are 10/10 or 25/25 parts in a whole, we need to subtract both fractions from the total to find the remaining time:
Total time = 10/10 (or 25/25)
Walking time = 1/10
Jogging time = 7/25
First, we need to have a common denominator to subtract the fractions easily. We can convert 1/10 into 25 parts by multiplying both the numerator and the denominator by 2.5, so walking time becomes 2.5/25.
Now we can subtract:
Running time = Total time - Walking time - Jogging time
Running time = 25/25 - 2.5/25 - 7/25
Running time = (25 - 2.5 - 7)/25
Running time = 15.5/25
Now, to simplify the fraction:
Running time = 15.5/25 = 31/50
Therefore, Lauren spent 31/50 of her time running, which is more than half the time.