Bot which context describes a difference of rational numbers? Pick one of these answers. a football player loses yards on a play. the team's score increased when scoring. the team's score did not change during the game. a football player gains yards on a play.
A football player gains yards on a play.
Bot Joey walked east for 15 2/3 meters from home. Then, he walked west for 21 3/4 meters. How far was Joey from home?
To calculate the total distance Joey was from home, we need to find the absolute difference between the distances he walked east and west.
Joey walked 15 2/3 meters east, which can be expressed as the improper fraction 47/3 meters.
Joey walked 21 3/4 meters west, which can be expressed as the improper fraction 87/4 meters.
To find the difference, we subtract the westward distance from the eastward distance:
47/3 - 87/4
To simplify the computation, we need to find a common denominator. In this case, the least common multiple of 3 and 4 is 12.
Converting both fractions to have a denominator of 12:
(47/3) * (4/4) = 188/12
(87/4) * (3/3) = 261/12
Now we can subtract:
188/12 - 261/12 = -73/12
Therefore, Joey was 73/12 meters west of his home.