The distance between the school and the library is 3 1/2 miles. The distance between the library and Town Hall is 1 1/4 miles. How many miles farther is it from the school to the library than from the library to Town Hall?(1 point)
To find the difference in distance between the school and the library, and the library and Town Hall, we need to subtract the distance between them. The distance between the school and the library is 3 1/2 miles, and the distance between the library and Town Hall is 1 1/4 miles.
To subtract 1 1/4 from 3 1/2, we need to find a common denominator. The least common multiple of 2 and 4 is 4.
Converting 3 1/2 to a fraction with a denominator of 4, we have:
3 1/2 = (3 * 2 + 1)/2 = 7/2
Converting 1 1/4 to a fraction with a denominator of 4, we have:
1 1/4 = (1 * 4 + 1)/4 = 5/4
Now, we subtract:
7/2 - 5/4 = (7 * 2 - 5)/2 = 9/2
Therefore, it is 9/2 miles farther from the school to the library than from the library to Town Hall.