4. 2 7/12 * 4 1/3 =
Answer: C
11 7/36
The product of 2 7/12 and 4 1/3 equals 11 7/36. This calculation involves converting the mixed numbers to improper fractions, performing the multiplication, and simplifying the result.
A) 8 7/36
Option A is incorrect because the calculated result of the multiplication exceeds 8. The correct multiplication of the two mixed numbers results in a value greater than 8, which disqualifies this option.
B) 9 11/12
Option B is also incorrect. Although 9 11/12 is a plausible result from a multiplication of two fractions, the specific calculation of 2 7/12 and 4 1/3 yields a different result, confirming that this option does not align with the correct answer.
C) 11 7/36
Option C is the correct answer. When 2 7/12 is multiplied by 4 1/3, the proper calculation leads to 11 7/36 after simplifying the product of the improper fractions derived from these mixed numbers.
D) 11 7/12
Option D is incorrect because it suggests that the result is a whole number with a fraction that does not match the simplification of the multiplication. The correct fraction result is 11 7/36, which is distinct from the 11 7/12 stated here.
Conclusion
The correct answer, 11 7/36, accurately represents the product of 2 7/12 and 4 1/3, as confirmed by the multiplication process. All other options fail to match the calculated result, demonstrating that they do not satisfy the requirements of the problem.