Answer:
- (-1/2)/(4/5), (-3/8)/(4/5), (4/5)/(-1/2), (4/5)/(-3/8)
- (-1/2)/(4/5) = -5/8
- signs must differ; there is only one positive number
Step-by-step explanation:
a) 4/5 must be paired with either of the other two numbers, either as the numerator or as the denominator. Consequently, there are 4 possible division problems with a negative quotient.
(-1/2)/(4/5), (-3/8)/(4/5), (4/5)/(-1/2), (4/5)/(-3/8)
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b) the result of the first problem is
(-1/2)/(4/5) = (-1/2)(5/4) = -5/(2·4) = -5/8
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c) in order for the quotient to be negative the signs of the numerator and denominator must be different. There is only one positive number to choose from (4/5), so it must appear in every expression.
