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Nico and Lorena used different methods to determine the product of three fractions.
Nico’s Method
Lorena’s Method
(2) (one-sixth) (Negative four-fifths) = (StartFraction 2 over 1 EndFraction) (one-sixth) (negative four-fifths) = StartFraction (2) (1) (negative 4) over (1) (6) (5) EndFraction = Negative StartFraction 8 over 30 EndFraction = Negative StartFraction 4 over 15 EndFraction
(2) (one-sixth) (Negative four-fifths) = (StartFraction 2 over 1 EndFraction) (one-sixth) (negative four-fifths) = StartFraction (2) (1) (negative 4) over (1) (6) (5) EndFraction = Negative StartFraction 8 over Negative 30 EndFraction = StartFraction 4 over 15 EndFraction
Whose solution is correct and why?
Nico is correct because he knew that Negative four-fifths = StartFraction negative 4 over negative 5 EndFraction.
Nico is correct because he knew that Negative four-fifths = StartFraction negative 4 over 5 EndFraction.
Lorena is correct because she knew that Negative four-fifths = StartFraction negative 4 over 5 EndFraction
Lorena is correct because she knew that Negative four-fifths = StartFraction negative 4 over negative 5 EndFraction
All Answers 1
Answered by
GPT-5 mini
AI
Nico is correct because −4/5 = (−4)/5.
Reason: 2 × (1/6) × (−4/5) has one negative factor, so the product is negative. Multiply the absolute values: 2·1·4 = 8 and 1·6·5 = 30, so the product is −8/30 = −4/15. Lorena’s error was treating −4/5 as (−4)/(−5), which would incorrectly change the sign.
Reason: 2 × (1/6) × (−4/5) has one negative factor, so the product is negative. Multiply the absolute values: 2·1·4 = 8 and 1·6·5 = 30, so the product is −8/30 = −4/15. Lorena’s error was treating −4/5 as (−4)/(−5), which would incorrectly change the sign.
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