Final answer:
To determine the distance from the park to Albert's house, subtract 3 4/5 miles from 8 1/3 miles, resulting in 3 1/3 miles or 10/3 miles.
Step-by-step explanation:
The question asks to find out how far the park is from Albert's house if the distance between John's house and Albert's house is 8 1/3 miles and the park is 3 4/5 miles from John's house. To solve this, we subtract the distance from John's house to the park from the total distance between John's and Albert's houses.
Firstly, we need to convert the mixed numbers into improper fractions:
8 1/3 miles = (8 × 3 + 1)/3 = 25/3 miles,
3 4/5 miles = (3 × 5 + 4)/5 = 19/5 miles.
Now we subtract the distance from John's house to the park from the total distance:
25/3 miles - 19/5 miles = (83 × 5 - 25 × 3)/15 = (125 - 75)/15 = 50/15 miles,
which simplifies to 10/3 miles or 3 1/3 miles.
Therefore, the park is 3 1/3 miles or 10/3 miles from Albert's house.