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 the total distance Joey was from home, we need to subtract the distance he walked west from the distance he walked east.
15 2/3 - 21 3/4
To subtract mixed numbers, we need to find a common denominator first.
The least common multiple of 3 and 4 is 12.
Now let's convert the fractions to have a denominator of 12.
15 2/3 = 45/3 + 2/3 = 47/3 (since there are 3 twelfths in each whole number, and 2 twelfths is equal to 2/12, which simplifies to 2/3)
21 3/4 = 84/4 + 3/4 = 87/4 (since there are 4 twelfths in each whole number, and 3 twelfths is equal to 3/12, which simplifies to 3/4)
Now we can subtract: 47/3 - 87/4
To find a common denominator, we can multiply the denominators together: 3 * 4 = 12
Now, 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: 188/12 - 261/12 = (188 - 261)/12 = -73/12
Therefore, Joey was 73/12 meters away from home.
However, the question asks for the answer as a mixed number. To convert this to a mixed number, we divide the numerator by the denominator.
73 ÷ 12 = 6 R 1
Therefore, the mixed number is 6 1/12.
Joey was 6 1/12 meters away from home. Answer: \boxed{6 \frac{1}{12}}.
To find out how far Joey is from home, we need to calculate the total distance he walked east and then subtract the distance he walked west.
The distance Joey walked east is 15 2/3 meters.
The distance Joey walked west is 21 3/4 meters.
To subtract the distance walked west from the distance walked east, we need to make both fractions have the same denominator. The denominators of 3 and 4 have a common multiple of 12.
15 2/3 meters can be rewritten as (15 * 3 + 2)/3 = 47/3 meters.
21 3/4 meters can be rewritten as (21 * 4 + 3)/4 = 87/4 meters.
Now we can subtract the fractions: 47/3 - 87/4.
To find the difference, we first need to find a common denominator, which is 12 in this case.
47/3 can be rewritten as (47 * 4)/12 = 188/12.
87/4 can be rewritten as (87 * 3)/12 = 261/12.
Now we can subtract the fractions: 188/12 - 261/12.
To subtract the fractions with the same denominator, we can subtract their numerators: 188 - 261 = -73.
The final fraction is -73/12.
To write this as a mixed number, we divide the numerator (-73) by the denominator (12) and write the remainder as the fraction:
-73 ÷ 12 = -6 remainder 1.
Therefore, Joey is 6 1/12 meters away from home.