Joey walked east for15 2/3 meters from home then he walked west for 21 3/4 meters how far was Joey from home
To find how far 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, which can be converted to an improper fraction: 15 2/3 = 3 * 5 + 2/3 = 17/3 meters.
Joey walked west for 21 3/4 meters, which can be converted to an improper fraction: 21 3/4 = 4 * 5 + 3/4 = 27/4 meters.
Now, we subtract the distance he walked west from the distance he walked east: 17/3 - 27/4.
We need to find a common denominator for the denominators, which is 3 * 4 = 12.
17/3 = (17/3) * (4/4) = 68/12
27/4 = (27/4) * (3/3) = 81/12
Now we can subtract the fractions: 68/12 - 81/12 = -13/12.
Joey ended up being 13/12 meters to the west of his starting point.
Note: The negative sign indicates that Joey is west of his starting point. Since we are looking for the distance only, we take the absolute value of the result: |-13/12| = 13/12 = 1 and 1/12 meters.
Therefore, Joey was 1 and 1/12 meters from home.
To find how far Joey was from home, we need to calculate the total distance he walked east and west.
Joey walked east for 15 2/3 meters.
Joey 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
Next, let's find the total distance:
Total distance = Distance walked east - Distance walked west
Total distance = 47/3 - 87/4
To subtract these fractions, we need a common denominator, which is 12.
Total distance = (47/3 * 4/4) - (87/4 * 3/3)
Total distance = (188/12) - (261/12)
Total distance = (188 - 261)/12
Total distance = -73/12
Therefore, Joey was 73/12 meters away from home.
To find out how far Joey was from home, we need to subtract the distance he walked towards the west from the distance he walked towards the east.
Joey walked east for 15 2/3 meters, which can be written as a mixed number 15 + 2/3. To add the whole number and fraction, we need to find a common denominator. The common denominator for 3 and 1 is also 3. So we can rewrite 15 as 15/1 to have a common denominator of 3.
15/1 + 2/3 = (15 * 3)/ (1 * 3) + 2/3 = 45/3 + 2/3 = 47/3
Therefore, Joey walked a total distance of 47/3 meters towards the east.
Next, Joey walked west for 21 3/4 meters, which can be written as a mixed number 21 + 3/4. Similar to the previous calculation, we need to find a common denominator to add the whole number and fraction. The common denominator for 4 and 1 is also 4. So we can rewrite 21 as 21/1 to have a common denominator of 4.
21/1 + 3/4 = (21 * 4)/ (1 * 4) + 3/4 = 84/4 + 3/4 = 87/4
Therefore, Joey walked a total distance of 87/4 meters towards the west.
To find out how far Joey was from home, we subtract the distance he walked towards the west from the distance he walked towards the east:
47/3 - 87/4
To subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 12 since 3 and 4 have no common factors.
Now, we can rewrite the fractions with a common denominator of 12:
(47/3) = (47/3) * (4/4) = 188/12
(87/4) = (87/4) * (3/3) = 261/12
Now we can subtract:
188/12 - 261/12 = (188 - 261) / 12 = -73 / 12 (negative because Joey ended up west)
Therefore, Joey was 73/12 meters west of his starting point.