Answer: Nico is correct because he knew that,
[tex]-\frac{4}{5}=\frac{-4}{5}[/tex]
Step-by-step explanation:
Given expression is,
[tex](2)(\frac{1}{6})(-\frac{4}{5})[/tex]
The steps for solving this expression are as follow,
Step 1 :
[tex](\frac{2}{1}))(\frac{1}{6})(\frac{-4}{5})[/tex] ( [tex]a=\frac{a}{1}[/tex], where a is an integer also, [tex]-\frac{a}{b}=\frac{-a}{b}[/tex] )
Step 2 :
[tex]\frac{(2)(1)(-4)}{(1)(6)(5)}[/tex] ( [tex]\because \frac{a}{b}\times \frac{c}{d}=\frac{ac}{bd}[/tex] )
Step 3 :
[tex]\frac{-8}{30}[/tex]
Step 5 :
[tex]-\frac{4}{15}[/tex] ( 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 [tex]-\frac{4}{5}=\frac{-4}{-5}[/tex] which is incorrect.
Hence, Nico is correct because he knew that,
[tex]-\frac{4}{5}=\frac{-4}{5}[/tex]
