Question

The city park is( 81)/(4) miles from Roland Elementary School. The city library is( 62)/(3) miles from the same school. How much farther from the school is the park than the library? (answer as a fraction in lowest terms )

Answer 1

To find how much farther from Roland Elementary School the park is than the library, calculate the absolute difference between the two distances: (81/4) miles - (62/3) miles = 5/12 miles. Thus, the park is 5/12 miles farther from the school.

Step-by-step explanation:

The question asks for the difference in distance between the park and the library, both of which are a certain distance from Roland Elementary School. To find this, we subtract the distance to the library from the distance to the park:
(81/4) miles - (62/3) miles = (243/12) miles - (248/12) miles = (243 - 248)/12 miles = -5/12 miles.

However, since we are looking for how much farther the park is from the school compared to the library, we need the absolute value of the difference, which is 5/12 miles. Hence, the park is 5/12 miles farther from the school than the library.