Question

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?

Answer 1

The Answer is A

Nico is correct because he knew that Negative four-fifths = StartFraction negative 4 over negative 5 EndFraction.

Answer 2

Nico's solution is correct

Explanation:

Lorena introduced a spurious minus sign in the denominator in the next-to-last step, so ended up with a result that has the wrong sign.