The correct answer to the given fraction after simplification is equal to [tex]-44\frac{4}{9}[/tex] .
What is simplification?
" Simplification is defined as the reduce the given expression, fraction or problem into the easiest form."
Convert mixed fraction to proper fraction
[tex]p\frac{q}{r} = \frac{(r\times p)+q}{r}[/tex]
According to the question,
Given fraction,
[tex]-36\frac{4}{9}- (-10\frac{2}{9})-(18\frac{2}{9})[/tex]
Simplify the given fraction using conversion mixed fraction to proper fraction we get,
[tex]\frac{-328}{9}+ \frac{92}{9}- \frac{164}{9}\\\\= \frac{-328+92-164}{9}\\ \\= \frac{-400}{9}\\ \\= -44\frac{4}{9}[/tex]
Hence, Option(A) is the correct answer.
Learn more about simplification here
https://brainly.com/question/17482308
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