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 only
To find how far Joey was from home, we can subtract the distance he walked east from the distance he walked west.
Distance walked east: 15 2/3 meters
Distance walked west: 21 3/4 meters
To subtract the two fractions, we need a common denominator. The least common multiple of 3 and 4 is 12.
Converting 2/3 to twelfths:
2/3 * 4/4 = 8/12
Converting 3/4 to twelfths:
3/4 * 3/3 = 9/12
Now we can subtract the distances:
15 8/12 - 21 9/12 = 15 - 21 + 8/12 - 9/12
= -6 + (-1/12)
= -6 1/12
Therefore, Joey was 6 1/12 meters away from home.
To find out how far Joey is from home, we need to subtract the distance he walked west from the distance he walked east.
Joey walked east for 15 2/3 meters, and then walked west for 21 3/4 meters.
First, we need to convert the mixed numbers to improper fractions:
15 2/3 = (3 * 15) + 2 = 47/3
21 3/4 = (4 * 21) + 3 = 87/4
Now, subtract the second fraction from the first fraction:
47/3 - 87/4
To subtract fractions, we need to have a common denominator. The least common multiple (LCM) of 3 and 4 is 12.
Converting the fractions to have a denominator of 12:
(47/3) * (4/4) = 188/12
(87/4) * (3/3) = 261/12
Now we can subtract:
188/12 - 261/12 = (188 - 261)/12 = -73/12
The answer is -73/12. However, since the question asks for the answer as a mixed number, we need to convert the improper fraction back to a mixed number.
Divide the numerator by the denominator:
-73 ÷ 12 = -6, with a remainder of 5
The mixed number is -6 5/12.
Therefore, Joey is 6 5/12 meters away from home.
To find out how far Joey is from home, we need to calculate the difference between the distance he walked east and the distance he walked west.
First, let's convert the mixed numbers to improper fractions:
15 2/3 = (3 * 15 + 2)/3 = 47/3
21 3/4 = (4 * 21 + 3)/4 = 87/4
Now, we subtract the westward distance from the eastward distance:
47/3 - 87/4
To subtract fractions, we need a common denominator. The least common multiple (LCM) of 3 and 4 is 12. So, let's convert the fractions to have a denominator of 12:
(47/3)*(4/4) = 188/12
(87/4)*(3/3) = 261/12
Now, we can subtract the fractions:
188/12 - 261/12 = (188 - 261)/12 = -73/12
Therefore, Joey is -73/12 meters away from home. However, we need to express this answer as a mixed number.
To convert the improper fraction -73/12 to a mixed number, we divide the numerator (-73) by the denominator (12) and write the result as a mixed number:
-73 ÷ 12 = -6 remainder 7
So, Joey is -6 7/12 meters away from home.