Respuesta :

Answer:

First option: [tex]-\frac{1}{4}+(-\frac{5}{3})[/tex]

Step-by-step explanation:

 By definition, Equivalent expressions have the same value, even though they are written in different forms.

For this exercise it is important to remember the multiplication of signs:

[tex](+)(+)=+\\(+)(-)=-\\(-)(-)=+[/tex]

Given the following expression:

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

Since:

 [tex](+)(-)=-[/tex]

You know that:

[tex]-\frac{5}{3}=+(-\frac{5}{3})[/tex]

Therefore, knowing this, you can determine that the given expression can be written in the following form:

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

The equivalent expression is the one shown in the first option.

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