Final answer:
To divide mixed numbers, we first convert them to improper fractions and then multiply by the reciprocal of the divisor. However, the obtained results do not match any of the given choices, indicating there could be a mistake in the question or calculations.
Step-by-step explanation:
The question involves dividing mixed numbers, which can be done by first converting the mixed numbers to improper fractions and then multiplying by the reciprocal of the divisor.
For the first division, 2 1/2 ÷ (-1 3/4), convert to improper fractions:
(5/2) ÷ (-7/4). Multiply by the reciprocal: (5/2) × (-4/7) = -20/14, which simplifies to -10/7 or -1 3/7.
For the second division, -6 7/8 ÷ (-3 3/4), convert to improper fractions:
(-55/8) ÷ (-15/4). Multiply by the reciprocal: (-55/8) × (-4/15) = 220/120, which simplifies to 11/6 or 1 5/6.
To solve the expression (2 1/2 ÷ -1 3/4) again, we use the first solution we got, which was -10/7.
Looking at the answer choices, none of them contain our results, suggesting a possible error in the answer choices provided or in our calculations.