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 a negative sign to the product. An even number of negative signs pair up to make a positive product, while an odd number leaves one negative sign, making the product negative. Therefore, both Ivan’s and Polina’s conclusions are correct.

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