Final answer:
When multiplying two negative fractions, multiply the numerators to get the numerator of the answer, multiply the denominators to get the denominator, and the resulting fraction will be positive. Simplification may be required for the simplest form.
Step-by-step explanation:
The rule for multiplying two negative fractions is similar to the rule for multiplying two negative integers. When you multiply two negative fractions, you simply multiply the numerators (the top numbers) together and multiply the denominators (the bottom numbers) together, and the product will have a positive sign. This rule is based on the mathematical principle that a negative times a negative equals a positive.
For example, if we have the fractions -1/2 and -3/4, we multiply the numerators (-1) × (-3) to get 3, and then multiply the denominators (2) × (4) to get 8, resulting in a positive fraction, 3/8. It's important to simplify by common factors, if needed, to get the fraction in its simplest form.