Step-by-step explanation:
To divide 7/2 by 24 and simplify the result, we can follow these steps:
Step 1: Convert the mixed number 7/2 into an improper fraction.
7/2 = (2 * 3 + 1)/2 = 6/2 + 1/2 = 3 + 1/2 = 3 1/2
Step 2: Divide the improper fraction by 24.
(3 1/2) / 24 = (7/2) / 24
Step 3: Multiply the numerator by the reciprocal of the denominator.
(7/2) / 24 = (7/2) * (1/24)
Step 4: Simplify the fraction.
(7/2) * (1/24) = 7/48
Therefore, 7/2 divided by 24 and simplified is equal to 7/48.