A football team has a net yardage of -26 1/3 yards of a series of plays. The team needs to get yardage of 10 yards to get a first down. How many yards do they have to get on their next play to get a first down?
well, they need to get 26 1/3 yards just to get back to zero. Then another 10 for the 1st down. That's 36 1/3 yards.
Or, 10-(-26 1/3) = 36 1/3
To find out how many yards the football team needs to gain on their next play to get a first down, we need to consider the given net yardage and the yardage required for a first down.
Given:
Net yardage = -26 1/3 yards
Yardage for a first down = 10 yards
To determine how many yards the team needs to gain on their next play, we need to find the difference between the yardage for a first down and the net yardage they already have.
First, let's convert the mixed fraction -26 1/3 to an improper fraction:
-26 1/3 = - (26*3 + 1)/3 = - (78 + 1)/3 = -79/3
Now, subtract the converted net yardage from the yardage for a first down:
Difference = Yardage for a first down - Net yardage
Difference = 10 - (-79/3)
Difference = 10 + 79/3
To simplify the addition of 10 and 79/3, we need to find a common denominator for these fractions. The common denominator for 3 and 1 is 3, so we can rewrite 10 as 30/3. Adding 30/3 and 79/3, we get:
Difference = 30/3 + 79/3
Difference = (30 + 79)/3
Difference = 109/3
Therefore, the football team needs to gain 109/3 yards on their next play to get a first down.