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

1 answer

To find how far Joey is 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

Convert the mixed numbers to improper fractions:
Distance walked east: 15 2/3 = (3*15 + 2)/3 = 47/3
Distance walked west: 21 3/4 = (4*21 + 3)/4 = 87/4

Subtract the distance walked west from east:
47/3 - 87/4

To subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator of 3 and 4 is 12.

(47*4)/(3*4) - (87*3)/(4*3)
= 188/12 - 261/12
= (188 - 261)/12
= -73/12

So, Joey is 73/12 meters away from home. Convert this improper fraction to a mixed number:
73 รท 12 = 6 with a remainder of 1

Therefore, the answer is:
Joey is 6 1/12 meters away from home.