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.

Answer 1

To solve this problem, we need to find the difference between the distance Joey walked east and the distance he walked west.

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

To find the difference, we need to subtract the distance walked west from the distance walked east.

15 2/3 - (21 3/4)

First, let's find a common denominator for 3 and 4, which is 12.

Multiplying the numerator and denominator of 3/3 by 4, we get 12/12.
Multiplying the numerator and denominator of 4/4 by 3, we get 12/12.

Now the subtraction becomes:

15 8/12 - 21 9/12

Simplifying, we get:

15 8/12 - 21 9/12
= (15 - 21) + (8/12 - 9/12)
= -6 - 1/12

Since the result is negative, this means that Joey ended up west of his home.

Thus, Joey was 6 1/12 meters west of his home.