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
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.
To calculate how far Joey is from home, we need to find the difference between the distance he walked East and the distance he walked West.
Distance walked East: 15 2/3 meters
Distance walked West: 21 3/4 meters
To subtract mixed numbers, let's convert them into improper fractions:
15 2/3 = (3 * 15 + 2) / 3 = 47/3
21 3/4 = (4 * 21 + 3) / 4 = 87/4
Now, let's subtract:
Distance from home = (Distance walked East) - (Distance walked West)
= 47/3 - 87/4
To subtract fractions, they need a common denominator, which in this case is 12. We can convert both fractions to have a denominator of 12:
(47/3) * (4/4) = 188/12
(87/4) * (3/3) = 261/12
Now, subtract the fractions:
Distance from home = 188/12 - 261/12 = (188 - 261) / 12 = -73/12
Therefore, Joey is 73/12 meters away from home.