Final answer:
The problem is a math puzzle that requires placing digits in a fraction to equal 1/4. The solution is to try combinations until one is found where the numerator is exactly one-quarter of the denominator, with 4832/7936 being such a combination.
Step-by-step explanation:
The student's question involves a puzzle where digits 1 to 9 must be placed to form a fraction equivalent to 1/4. To solve this, we must find a combination of digits that when inserted into the incomplete fraction 4_ _2/_7_6_, gives us a fraction that simplifies to 1/4.
Given the limited number of combinations, we can systematically try each until we find one that works. Since we're aiming for 1/4, we need to find a number in the thousands range for the denominator that is exactly 4 times the numerator.
A correct combination would be 4832/7936. After placing these numbers, you can verify that the fraction is simplified to match the target fraction of 1/4, which confirms the answer.