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 write your answer as a mixed number only

1 answer

To find how far Joey was from home, we can subtract the distance he walked east from the distance he walked west.

Distance walked east: 15 2/3 meters
Distance walked west: 21 3/4 meters

To subtract the two fractions, we need a common denominator. The least common multiple of 3 and 4 is 12.

Converting 2/3 to twelfths:
2/3 * 4/4 = 8/12

Converting 3/4 to twelfths:
3/4 * 3/3 = 9/12

Now we can subtract the distances:
15 8/12 - 21 9/12 = 15 - 21 + 8/12 - 9/12
= -6 + (-1/12)
= -6 1/12

Therefore, Joey was 6 1/12 meters away from home.