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Answer :

Given:

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

First Step:

Use distributive property to distribute the negative sign and remove the parenthesis

[tex]\begin{gathered} \frac{3}{4}--\frac{1}{2} \\ \\ \frac{3}{4}\text{ + }\frac{1}{2} \end{gathered}[/tex]

Next Step:

Find the greatest common factor of the denominators.

Divide the GCF by the denominators and multiply by the numerators.

The GCF of 4 and 2 = 2

[tex]\begin{gathered} \frac{3}{4}+\frac{1}{2} \\ \\ \frac{\text{?? + ??}}{4} \end{gathered}[/tex]

[tex]\frac{3\text{ + 2}}{4}\text{ = }\frac{5}{4}[/tex]

ANSWER:

[tex]\frac{5}{4}[/tex]