Sherry jogged for ⅓ of an hour on Monday and ¼ of an hour on Tuesday. Jenny jogged for half of Sherry’s time on both days. What fraction of an hour did Jenny Jog?
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Sherry jogged for 1/3 of an hour on Monday and for 1/4 of an hour on Tuesday. Thus, the total time Sherry jogged is:
1/3 + 1/4 = 4/12 + 3/12 = 7/12
Jenny jogged for half of Sherry's time on both days, so Jenny jogged for:
1/2 x 7/12 = 7/24
Therefore, Jenny jogged for 7/24 of an hour.
To find the fraction of an hour that Jenny jogged, we first need to determine how long Sherry jogged each day.
On Monday, Sherry jogged for ⅓ of an hour. So, she ran for 1/3 of 1 hour, which is (1/3) * (1 hour) = 1/3 hour.
On Tuesday, Sherry jogged for ¼ of an hour, which is (1/4) * (1 hour) = 1/4 hour.
Now, let's find out how long Jenny jogged each day. We are given that Jenny jogged for half of Sherry's time on both Monday and Tuesday.
On Monday, Jenny jogged for (1/2) * (1/3 hour) = 1/6 hour.
On Tuesday, Jenny jogged for (1/2) * (1/4 hour) = 1/8 hour.
To find the total fraction of an hour that Jenny jogged on both days, we add the fractions together:
1/6 hour + 1/8 hour = (4/24) + (3/24) = 7/24 hour.
Therefore, Jenny jogged for 7/24 of an hour in total over both days.
To find the fraction of an hour that Jenny jogged, we need to find the total time Sherry jogged and then calculate half of that time.
Sherry jogged for 1/3 of an hour on Monday and an additional 1/4 of an hour on Tuesday. So the total time Sherry jogged is:
1/3 + 1/4
To add these fractions, we need to find a common denominator. The common denominator for 3 and 4 is 12.
Converting 1/3 to twelfths:
(1/3) x (4/4) = 4/12
Converting 1/4 to twelfths:
(1/4) x (3/3) = 3/12
So the total time Sherry jogged is:
4/12 + 3/12 = 7/12
Now we need to find half of this time.
Half of 7/12 can be calculated by dividing the numerator by 2:
7 ÷ 2 = 3.5
So, Jenny jogged for 3.5/12 of an hour.
In fraction form, Jenny jogged for:
3.5/12
This can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 1 in this case:
(3.5/1) ÷ (12/1) = 3.5/12
So, Jenny jogged for 3.5/12 of an hour.