Jennie skated for 2 5/6 hours on Saturday and 1 3/6 hours on Sunday. Her goal was to skate 6 hours over the weekend. How much longer does Jennie need goal? Show your work.
6 - 2 5/6 - 1 3/6 = ?
the answer was 3 2/6 because 6-2-1= 3 plus minus 5/6- 3/6- 2/6= 2/6 and connect it equals 3 2/6
6-256-136=386
To find out how much longer Jennie needs to reach her goal of skating 6 hours over the weekend, we can add up the time she skated on Saturday and Sunday and subtract it from the goal.
Jennie skated for 2 5/6 hours on Saturday. In mixed fraction form, this is (2 + 5/6) hours, which can be written as (12/6 + 5/6) hours.
Simplifying the fractions, we get (17/6) hours skated on Saturday.
Jennie skated for 1 3/6 hours on Sunday. In mixed fraction form, this is (1 + 3/6) hours, which can be written as (6/6 + 3/6) hours.
Simplifying the fractions, we get (9/6) hours skated on Sunday.
To find the total hours skated over the weekend, we add the hours skated on Saturday and Sunday:
(17/6) + (9/6) = (26/6) hours.
Now, let's find out how much longer Jennie needs to reach her goal by subtracting the total hours skated from the goal of 6 hours:
6 - (26/6) = (36/6) - (26/6) = (10/6) hours.
Therefore, Jennie needs an additional (10/6) hours to reach her goal.
To convert the mixed fraction (10/6) to a mixed number, we first divide the numerator (10) by the denominator (6):
10 ÷ 6 = 1 remainder 4.
This means that (10/6) is equal to 1 and 4/6 hours.
The reciprocal of 4/6 is 6/4, so we can convert 4/6 to the same fraction with a denominator of 4:
(4/6) = (4/6) × (2/2) = (8/12).
Adding (8/12) to 1, we get:
1 + (8/12) = (12/12) + (8/12) = (20/12) hours.
Therefore, Jennie needs an additional 1 and 4/6 hours, or 1 hour and 20 minutes, to reach her goal.