Joey locked is for 15 2/3 m from home then he walked west for 21 3/4 m. How far away is Joey from home
To find out how far away Joey is from home, we need to add the distance he was locked away for and the distance he walked.
The distance Joey was locked away for is 15 2/3 m.
The distance Joey walked is 21 3/4 m.
To add these distances, first, convert both fractions to a single form.
15 2/3 m = 15 + 2/3 = 45/3 + 2/3 = 47/3 m
21 3/4 m = 21 + 3/4 = 84/4 + 3/4 = 87/4 m
Now add the distances:
47/3 m + 87/4 m = (47×4 + 87×3) / (3×4) = (188 + 261) / 12 = 449 / 12
Dividing 449 by 12, we get:
37.41 m
Therefore, Joey is approximately 37.41 meters away from home.
To find the total distance Joey is from home, we need to add the distance Joey locked from home and the distance he walked west.
Distance locked from home = 15 2/3 m
Distance walked west = 21 3/4 m
To add these two distances, we need to have them in the same format.
Converting 15 2/3 to an improper fraction:
15 * 3 = 45
45 + 2 = 47
47/3
Converting 21 3/4 to an improper fraction:
21 * 4 = 84
84 + 3 = 87
87/4
Now, we can add the two fractions:
47/3 + 87/4
To add fractions, we need to have a common denominator. In this case, the least common multiple (LCM) of 3 and 4 is 12. So, let's convert both fractions to have a denominator of 12:
(47/3) * (4/4) = 188/12
(87/4) * (3/3) = 261/12
Now we can add the fractions:
188/12 + 261/12 = 449/12
So, Joey is 449/12 m away from home.