Final answer:
To determine how many times 5/16 fits into 1 7/8, you convert 1 7/8 to an improper fraction (15/8), then divide by 5/16, resulting in 6 times. None of the answer choices (12, 11, 13, 14) provided by the student match this solution, indicating a possible error in the question or the options.
The correct answer is none of all.
Step-by-step explanation:
The student is asking to find out how many times the fraction 5/16 can fit into 1 7/8. First, we need to convert 1 7/8 into an improper fraction. This can be done by multiplying the whole number 1 by the denominator 8 and then adding the numerator 7, which gives us 8(1) + 7 = 15/8.
Now, to find out how many times 5/16 fits into 15/8, we divide the latter by the former, which is equivalent to multiplying 15/8 by the reciprocal of 5/16:
15/8 × 16/5 = (15 × 16) / (8 × 5) = 240/40
After simplifying, we are left with 240/40 = 6. Therefore, 5/16 fits into 1 7/8 exactly 6 times. However, looking at the answer choices provided (12, 11, 13, 14), none of these match the calculation result, which suggests there may be a typo or an error in the provided options or the question itself.