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 answer

To find the distance between Joey's current location and home, we need to subtract the distance he walked West from the distance he walked East.

Distance East = 15 2/3 meters

Converting the mixed number to an improper fraction:
Distance East = (3*15 + 2)/3 = 47/3 meters

Distance West = 21 3/4 meters

Converting the mixed number to an improper fraction:
Distance West = (4*21 + 3)/4 = 87/4 meters

Finding the difference between the distance East and West:
Distance from home = Distance East - Distance West

Distance from home = 47/3 - 87/4

To subtract these fractions, we need to find a common denominator, which is 12:
Distance from home = (47/3 * 4/4) - (87/4 * 3/3)

Distance from home = 188/12 - 261/12

Distance from home = (188 - 261)/12

Distance from home = -73/12 meters

Therefore, Joey is 73/12 meters away from home.