To multiply mixed numbers, we first need to convert them to improper fractions, then we can multiply them and simplify the result back to a mixed number.
Converting the first mixed number to an improper fraction:
-3 5/7 = -3 × 7/7 + 5/7 = -21/7 + 5/7 = -16/7
Converting the second mixed number to an improper fraction:
-2 1/2 = -2 × 2/2 + 1/2 = -4/2 + 1/2 = -3/2
Multiplying the two improper fractions:
(-16/7) × (-3/2) = (16/7) × (3/2) = 48/14 = 24/7
Simplifying the result to a mixed number:
24/7 = 3 3/7
Therefore, -3 5/7 x -2 1/2 = 3 3/7.