Joy 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
Joey was “blank” meters from home.
To find Joey's distance from home, we need to subtract the distance he walked west from the distance he walked east.
15 2/3 - 21 3/4
To subtract mixed numbers, we need to convert them to improper fractions.
15 2/3 = (3 * 15 + 2)/3 = 47/3
21 3/4 = (4 * 21 + 3)/4 = 87/4
Now we can subtract the two fractions.
47/3 - 87/4
To subtract fractions, we need to find a common denominator, which in this case is 12.
(47/3)(4/4) - (87/4)(3/3)
= 188/12 - 261/12
Now we can subtract the numerators.
= (188 - 261)/12
= -73/12
Therefore, Joey was -73/12 meters from home.
Simplify -73/12 please.
To simplify -73/12, we can divide both the numerator and denominator by their greatest common divisor, which is 1 in this case.
-73 ÷ 1 = -73
12 ÷ 1 = 12
Therefore, the simplified form of -73/12 is -73/12.
To find out how far Joey was from home, we can 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
To subtract the two distances, we need to convert them to a common denominator.
The least common denominator of 3 and 4 is 12.
Converting the distance walked east:
15 2/3 = (15 * 3 + 2) / 3 = 47/3
Converting the distance walked west:
21 3/4 = (21 * 4 + 3) / 4 = 87/4
Now we can subtract the two distances:
47/3 - 87/4
To subtract fractions, we need to make sure they have the same denominator.
Multiplying the numerator and denominator of 47/3 by 4:
47/3 * 4/4 = 188/12
Subtracting the two fractions:
188/12 - 87/4
To subtract fractions, we need to have the same denominator.
Multiplying the numerator and denominator of 87/4 by 3:
87/4 * 3/3 = 261/12
Now, we can subtract the two fractions:
188/12 - 261/12 = -73/12
So, Joey was -73/12 meters from home.
Since the distance cannot be negative, we can write the answer as an absolute value:
|-73/12| = 73/12
Therefore, Joey was 73/12 meters from home.