Final answer:
The sum of -4/12 and 3/14, after simplifying and finding a common denominator, is -5/42, which is not one of the provided answer choices.
Step-by-step explanation:
To find the sum of -4/12 and 3/14, we first need to simplify the fractions where possible and then find a common denominator to add them together. The fraction -4/12 can be simplified to -1/3 because 4 and 12 have a common factor of 4. However, there is no need to simplify 3/14 since it is already in its simplest form. Now, we need a common denominator for -1/3 and 3/14.
The least common denominator (LCD) of 3 and 14 is 42. So, we convert -1/3 into -14/42 and 3/14 into 9/42. Then, we add the fractions:
- -14/42 + 9/42 = (-14 + 9) / 42
- -14/42 + 9/42 = -5/42
Therefore, the sum of -4/12 and 3/14 is -5/42, which means that none of the answer choices provided (A, B, C, or D) is correct.