Joey walked east for 15 2/3,meters from home.Then he walked n21 3/4 meters. How far was Joey from home
To find how far Joey was from home, we need to add the two distances he walked.
First, we need to convert 15 2/3 meters to an improper fraction.
15 2/3 = (15 * 3 + 2) / 3 = 47/3
Next, we need to convert n21 3/4 to an improper fraction.
21 3/4 = (21 * 4 + 3) / 4 = 87/4
Now, we can add the two fractions together:
47/3 + 87/4
To add the two fractions, we need to have the same denominator. The least common multiple (LCM) of 3 and 4 is 12.
Therefore, we can convert the fractions to have a denominator of 12:
(47/3) * (4/4) = 188/12
(87/4) * (3/3) = 261/12
Now, we can add the fractions:
188/12 + 261/12 = 449/12
So, Joey was 449/12 meters from home.
To calculate how far Joey was from home, we need to add the two distances he walked.
First, let's convert the mixed number 15 2/3 to an improper fraction:
15 2/3 = (15 * 3 + 2)/3 = 47/3
So, Joey walked 47/3 meters east from home.
Now, let's add this distance to the other distance he walked.
47/3 + n21 3/4
To add these fractions, we need a common denominator of 12.
47/3 = (47/3) * (4/4) = 188/12
21 3/4 = (21 * 4 + 3)/4 = 87/4
So, we have:
188/12 + 87/4
To add these fractions, we need a common denominator of 12, which is already the denominator of the first fraction.
188/12 + 87/4 = 188/12 + (87/4) * (3/3) = 188/12 + 261/12
Now, we can add the numerators:
188 + 261 = 449
So the total distance that Joey walked is 449/12 meters.
Therefore, Joey was 449/12 meters away from home.