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.(1 point)
To find out 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 distances walked into mixed numbers:
15 2/3 = 15 + 2/3 = 15 6/6 + 2/3 = 15 12/6 + 2/3 = 15 24/6 + 2/3 = 15 26/6
21 3/4 = 21 + 3/4 = 21 3/4
Now let's subtract the distance walked west from the distance walked east:
15 26/6 - 21 3/4
To subtract mixed numbers, we need to have a common denominator:
Since 6 is already common, we just have to find a common denominator for 6 and 4, which is 12.
Rewriting the mixed numbers with the common denominator of 12:
15 26/6 = 15 52/12
21 3/4 = 21 9/12
Now we can subtract the fractions:
15 52/12 - 21 9/12 = 15 - 21 + 52/12 - 9/12 = -6 + 43/12
Since the result is negative, it means Joey is 6 - 43/12 meters away from home.
To write this as a mixed number, we have to rewrite the result as a mixed number by dividing the numerator by the denominator:
43 ÷ 12 = 3 remainder 7
So Joey is 6 - 3 7/12 meters away from home.
Therefore, Joey is 6 and three-sevenths meters away from home.
To find out how far Joey was from home, we'll need to calculate 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, we need to convert them into improper fractions.
Converting 15 2/3 to an improper fraction:
15 + 2/3 = (15 * 3 + 2) / 3 = 47/3
Converting 21 3/4 to an improper fraction:
21 + 3/4 = (21 * 4 + 3) / 4 = 87/4
Now, we can subtract the two fractions:
47/3 - 87/4
To subtract fractions with different denominators, we need to find a common denominator. The least common multiple (LCM) of 3 and 4 is 12.
Converting both 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
The result is -73/12.
To write this as a mixed number, we divide the numerator by the denominator:
-73 ÷ 12 = -6 with a remainder of 1.
Therefore, Joey was 6 and 1/12 meters from home.
To find the distance Joey was 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, 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 can subtract the two fractions:
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. 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 subtract the fractions:
188/12 - 261/12 = (188 - 261)/12 = -73/12
The resulting fraction is negative, which means Joey is west of his home.
To write the answer as a mixed number, we divide the numerator (-73) by the denominator (12):
-73 ÷ 12 = -6 with a remainder of -1
Since we are looking for a positive distance, we take the absolute value of the remainder:
|-1| = 1
The mixed number is then -6 1/12.
Therefore, Joey was 6 1/12 meters west of his home.