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)?
A. (Negative 1) (one-fourth) (Negative 1) (negative 1)
B. (Negative 1) (one-half) (Negative 1) (1)
C. (Negative StartFraction 4 over 2 EndFraction) (Three-halves) (Negative two-fifths) (Five-halves)
D. (Negative three-fourths) (Negative three-fourths) (Negative one-fifth) (One-half)
The expression can be simplified as follows:
(Negative four-fifths) (three-fifths) (Negative StartFraction 6 over 7 EndFraction) (five-sixths)
= (-4/5)(3/5)(-6/7)(5/6)
= -4/5 * 3/5 * -6/7 * 5/6
= -4 * 3 * -6 * 5 / (5 * 5 * 7 * 6)
= 480 / (1500)
= 8/25
None of the given options matches the simplified expression 8/25, so none of the provided options are the best estimate of the actual product.