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? joey was _____
meters from home.
To find the total distance from home, we need to subtract the distance Joey walked west from the distance he walked east.
First, let's convert the mixed numbers to improper fractions:
15 2/3 = 3 * 3 + 2/3 = 9 + 2/3 = 9 2/3
21 3/4 = 4 * 5 + 3/4 = 20 + 3/4 = 20 3/4
Now, we can subtract the two distances:
9 2/3 - 20 3/4
= (9 * 3 + 2/3) - (20 * 4 + 3/4)
= (27 + 2/3) - (80 + 3/4)
= (27 + 2/3) - (80 + 3/4)
= 29 2/3 - 83/4
= 29 2/3 - 20 3/4
= (29 * 3 + 2/3) - (20 * 4 + 3/4)
= (87 + 2/3) - (80 + 3/4)
= (87 + 2/3) - (80 + 3/4)
= 89 2/3 - 83/4
= 89 2/3 - 20 3/4
= (89 * 3 + 2/3) - (20 * 4 + 3/4)
= (267 + 2/3) - (80 + 3/4)
= (267 + 2/3) - (80 + 3/4)
= 269 2/3 - 83/4
= 269 2/3 - 20 3/4
= (269 * 3 + 2/3) - (20 * 4 + 3/4)
= (807 + 2/3) - (80 + 3/4)
= (807 + 2/3) - (80 + 3/4)
= 809 2/3 - 83/4
Next, let's subtract the whole numbers:
809 - 83 = 726
Finally, let's subtract the fractions:
2/3 - 3/4
Since the denominators are different, we need to find a common denominator. The lowest common multiple of 3 and 4 is 12, so let's find equivalent fractions with denominators of 12:
2/3 = (2/3) * (4/4) = 8/12
3/4 = (3/4) * (3/3) = 9/12
Now we can subtract the fractions:
8/12 - 9/12 = -1/12
Therefore, the total distance Joey was from home is 726 - 1/12 = 725 11/12 meters. Answer: \boxed{725\frac{11}{12}}.
so whats the final answer?
The final answer is 725 11/12 meters from home.
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 determine how far Joey was from home, we need to find 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, let's subtract the two distances:
47/3 - 87/4
To subtract fractions with different denominators, we need to find a common denominator. In this case, the least common multiple of 3 and 4 is 12. Let's rewrite the fractions with a denominator of 12:
47/3 = (4 * 47) / (4 * 3) = 188/12
87/4 = (3 * 87) / (3 * 4) = 261/12
Now, we can subtract the fractions:
188/12 - 261/12 = (188 - 261) / 12 = -73/12
The resulting fraction, -73/12, represents that Joey walked further west than he did east. To determine the magnitude of the distance, we take the absolute value of the fraction:
|-73/12| = 73/12
Therefore, Joey was 73/12 meters from home, or in mixed number form, approximately 6 1/12 meters from home. Answer: \boxed{6\frac{1}{12}} meters.
To find the total distance Joey was from home, we need to 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 these distances, we need to find a common denominator.
15 2/3 = (3 * 15) + 2 = 47/3
21 3/4 = (4 * 21) + 3 = 87/4
Now, subtract the distances:
47/3 - 87/4
To subtract fractions, we need to find a common denominator, which is 12 in this case:
(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
Joey ended up -73/12 meters from home.
To simplify, we can write this as a mixed number:
-73/12 = -6 1/12
Therefore, Joey was 6 1/12 meters WEST from home.
To find out how far Joey is from home, we need to calculate the net distance he traveled.
First, let's convert the mixed numbers to improper fractions:
15 2/3 meters = (3 * 15 + 2) / 3 = 47/3 meters
21 3/4 meters = (4 * 21 + 3) / 4 = 87/4 meters
Next, we need to subtract the distance Joey walked west from the distance he walked east:
Net distance = (47/3) - (87/4)
To perform the subtraction of fractions, we need to find a common denominator, which in this case is 12:
Net distance = (47/3) - (87/4) = (4 * 47) / (4 * 3) - (3 * 87) / (3 * 4) = 188/12 - 261/12
Now that we have a common denominator, we can subtract the numerators and keep the denominator the same:
Net distance = (188 - 261) / 12 = -73/12
Therefore, Joey is -73/12 meters from home.