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? (1 point)
To find Joey's distance from home, we need to subtract the distance he walked west from the distance he walked east.
Distance walked east = 15 2/3 meters
Distance walked west = 21 3/4 meters
To subtract these fractions, we need to find a common denominator.
The common denominator of 3 and 4 is 12.
Now, let's convert the fractions to have a denominator of 12.
15 2/3 meters = (15 * 3 + 2) / 3 = 47/3 meters
21 3/4 meters = (21 * 4 + 3) / 4 = 87/4 meters
Subtracting the distances, we have 47/3 - 87/4.
To simplify this calculation, we need to express both fractions with the same denominator.
47/3 = (47 * 4) / (3 * 4) = 188/12 meters
87/4 = (87 * 3) / (4 * 3) = 261/12 meters
Now we can subtract the fractions:
188/12 - 261/12 = -73/12 meters.
Since the result is negative, Joey is 73/12 meters away from home in the west direction.
To find out how far Joey was from home, we can subtract the distance he walked west from the distance he walked east.
Distance walked east: 15 2/3 meters
Distance walked west: 21 3/4 meters
To subtract these distances, we need to find a common denominator for 3 and 4, which is 12.
Converting the fractions to have a denominator of 12:
15 2/3 = (15 * 3 + 2) / 3 = 47/3
21 3/4 = (21 * 4 + 3) / 4 = 87/4
Now, we can subtract:
47/3 - 87/4
To subtract fractions, we need to have a common denominator, which is 12:
(47/3) * (4/4) = 188/12
(87/4) * (3/3) = 261/12
Now we can subtract:
188/12 - 261/12 = (188 - 261) / 12 = -73/12
So Joey was -73/12 meters from home.