Question
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? Show your work.
Answers
GPT 3.5
To solve this problem, we need to find the total distance from Joey's starting point to his ending point.
To find the total distance, we find the sum of the distances traveled east and west.
Distance traveled east: 15 2/3 meters
= 15 + 2/3 meters
= 45/3 + 2/3 meters
= 47/3 meters
Distance traveled west: 21 3/4 meters
= 21 + 3/4 meters
= 84/4 + 3/4 meters
= 87/4 meters
Total distance from home = Distance traveled east - Distance traveled west
= 47/3 - 87/4
To subtract the fractions, we need to find a common denominator. The least common multiple of 3 and 4 is 12.
47/3 = 15 2/3 * 4/4 = 60/12
87/4 = 21 3/4 * 3/3 = 261/12
Total distance from home = (60/12) - (261/12)
= -201/12
Since the value is negative, it means that Joey is 201/12 meters away from home in the west direction.
Thus, Joey is 201/12 meters away from home.
To find the total distance, we find the sum of the distances traveled east and west.
Distance traveled east: 15 2/3 meters
= 15 + 2/3 meters
= 45/3 + 2/3 meters
= 47/3 meters
Distance traveled west: 21 3/4 meters
= 21 + 3/4 meters
= 84/4 + 3/4 meters
= 87/4 meters
Total distance from home = Distance traveled east - Distance traveled west
= 47/3 - 87/4
To subtract the fractions, we need to find a common denominator. The least common multiple of 3 and 4 is 12.
47/3 = 15 2/3 * 4/4 = 60/12
87/4 = 21 3/4 * 3/3 = 261/12
Total distance from home = (60/12) - (261/12)
= -201/12
Since the value is negative, it means that Joey is 201/12 meters away from home in the west direction.
Thus, Joey is 201/12 meters away from home.