Respuesta :

Rodney used distributive property

Step-by-step explanation:

Given expression is:

[tex]\frac{1}{2}(2x+7)[/tex]

In order to simplify these types of expressions, first of all the external element is distributed into the bracket.

This property is called distributive property where the outer number is distributed into the bracket.

The distributive property is generally stated as:

[tex]a(b+c) = ab+ ac[/tex]

So applying the property on given expression

[tex]= \frac{1}{2} * 2x + \frac{1}{2} * 7\\= x + \frac{7}{2}\\= x + 3\frac{1}{2}[/tex]

Hence,

Rodney used distributive property

Keywords: Distributive property, fractions

Learn more about distributive property at:

  • brainly.com/question/9196410
  • brainly.com/question/9178881

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