Question

Nico and Lorena used different methods to determine the product of three fractions.

Answer 1

Nico is correct because he knew that -4/5 is not equal to -4/-5.

-4/-5 is actually equal to 4/5.

Answer 2

Answer: Nico is correct because he knew that,

$-\frac{4}{5}=\frac{-4}{5}$

Step-by-step explanation:

Given expression is,

$(2)(\frac{1}{6})(-\frac{4}{5})$

The steps for solving this expression are as follow,

Step 1 :

$(\frac{2}{1}))(\frac{1}{6})(\frac{-4}{5})$     ( $a=\frac{a}{1}$, where a is an integer also, $-\frac{a}{b}=\frac{-a}{b}$ )

Step 2 :

$\frac{(2)(1)(-4)}{(1)(6)(5)}$       ( $\because \frac{a}{b}\times \frac{c}{d}=\frac{ac}{bd}$ )

Step 3 :

$\frac{-8}{30}$

Step 5 :

$-\frac{4}{15}$    ( By simplifying )

Thus, by the above explanation the steps in Nico's metod are correct and his answer is correct also, Lorena got wrong answer because he wrote $-\frac{4}{5}=\frac{-4}{-5}$ which is incorrect.

Hence, Nico is correct because he knew that,

$-\frac{4}{5}=\frac{-4}{5}$