Respuesta :

-5.25 -(-7.5) (Conversion to decimals cuz' it's easier for me to type)
-5.25 + 7.5 (Subtracting a negative is like Adding a Positive)
7.5 - 5.25 (Rearranging)
2.25 (Subtracting)
2 1/4 Final Answer.

To do it w/o converting to decimals, make sure the fractions have the same denominator.
aksnkj

The simplified form of [tex]-5\dfrac{1}{4}-(-7\dfrac{1}{2})[/tex] will be [tex]\dfrac{9}{4}[/tex] or 2.25.

The given expression is [tex]-5\dfrac{1}{4}-(-7\dfrac{1}{2})[/tex].

It is required to simplify the given expression.

How can we simplify the expression?

  • Firstly, write the compound fraction in the form of a simple fraction.
  • Then, use the rules of algebra to solve the expression.

The given expression can be solved as,

[tex]-5\dfrac{1}{4}-(-7\dfrac{1}{2})=(-\dfrac{21}{4}+\dfrac{15}{2})\\=(\dfrac{30-21}{4})\\=\dfrac{9}{4}\\=2.25[/tex]

Therefore, the simplified form of [tex]-5\dfrac{1}{4}-(-7\dfrac{1}{2})[/tex] will be [tex]\dfrac{9}{4}[/tex] or 2.25.

For more details about fractions, refer to the link:

https://brainly.com/question/1301963

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