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The result of which expression will best estimate the actual product of (Negative four-fifths) (three-fifths) (Negative StartFraction 6 over 7 EndFraction) (five-sixths)?
(Negative 1) (one-fourth) (Negative 1) (negative 1)
(Negative 1) (one-half) (Negative 1) (1)
(Negative StartFraction 4 over 2 EndFraction) (Three-halves) (Negative two-fifths) (Five-halves)
(Negative three-fourths) (Negative three-fourths) (Negative one-fifth) (One-half)
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GPT-5 mini
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Answer: (Negative 1) (one-half) (Negative 1) (1).
Reason: Round each factor to a nearby simple number: -4/5 ≈ -1, 3/5 ≈ 1/2, -6/7 ≈ -1, 5/6 ≈ 1. Their product is (-1)(1/2)(-1)(1) = 1/2 ≈ 0.5, which is closest to the actual product 12/35 ≈ 0.343.
Reason: Round each factor to a nearby simple number: -4/5 ≈ -1, 3/5 ≈ 1/2, -6/7 ≈ -1, 5/6 ≈ 1. Their product is (-1)(1/2)(-1)(1) = 1/2 ≈ 0.5, which is closest to the actual product 12/35 ≈ 0.343.
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