Weare asked to multiply two mixed numbers.
We start with the simplest part, which is to determine the final sign of the product: since we are multiplying a negative number times another negative number, we know that the answer will ve a POSITIVE number.
Now we proceed to treat the actual numerical values. Starting with writting the two mixed numbers as improper fractions, because we do have clear rules on how to multiply fractions:
3 1/2 is the same as : 6/2 + 1/2 = 7/2
1 3/4 is the same as : 4/4 + 3/4 = 7/4
so, now we multiply these two improper fractions:
7/2 * 7/4 = 49/8
Therefore the final answer is:
-3 1/2 × -1 3/4 = 49/8