Answer :
Given the expression:
[tex]-1\frac{4}{5}+(-\frac{1}{4})+(-\frac{1}{5})[/tex]Let's simplify the expression.
Remove the parentheses:
[tex]-1\frac{4}{5}-\frac{1}{4}-\frac{1}{5}[/tex]COnvert the first fraction from mixed fraction to improper fraction:
[tex]-\frac{9}{5}-\frac{1}{4}-\frac{1}{5}[/tex]Now, let's find a common denominator using the Lowest Common Multiple(LCM) of the denominators and evaluate.
LCM of 5, 4, and 5 = 20
Divide the LCM by each denominator and multily by the corresonding numerator.
[tex]\begin{gathered} \frac{-36-5-4}{20} \\ \\ =\frac{-45}{20} \\ \\ =-\frac{9}{4} \\ \\ =-2\frac{1}{4} \end{gathered}[/tex]ANSWER:
[tex]-2\frac{1}{4}[/tex]