Ivan and Polina have each drawn a conclusion about multiplying negative fractions. Ivan: The product of an even number of negative fractions is always positive. Polina: The product of an odd number of negative fractions is always negative. Whose conclusion is correct?

Each negative fraction contributes one negative factor to the product. A product with an even number of negative factors is positive because the negatives can be paired, and a product with an odd number is negative because one negative remains unpaired. Therefore, both Ivan’s and Polina’s conclusions are correct.

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