Respuesta :

Answer:

-6 2/9

Explanation:

Given the expression:

[tex]-4\frac{5}{9}+(-1\frac{2}{3})[/tex]

First, open the brackets:

[tex]=-4\frac{5}{9}-1\frac{2}{3}[/tex]

Next, change the fractions to improper fractions:

[tex]=-\frac{41}{9}-\frac{5}{3}[/tex]

Then, take the lowest common multiple of 9 and 3 to combine the fractions:

[tex]\begin{gathered} =\frac{-41-5(3)}{9} \\ =\frac{-41-15}{9} \\ =\frac{-56}{9} \\ =-6\frac{2}{9} \end{gathered}[/tex]

The result is -6 2/9.

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