Respuesta :

bekkarmahdi702

Answer:

[tex]x = \frac{82}{3}[/tex]

Step-by-step explanation:

  • let [tex]x[/tex] be that number

[tex](\frac{3}{4} )x = \frac{41}{2}[/tex]

[tex]\frac{3x}{4} = \frac{41}{2}[/tex]

  • multiply both sides by [tex]4[/tex]

[tex]\frac{3x}{4} * 4 = 4 * \frac{41}{2} \\3x = \frac{41 }{2} * 2 * 2\\3x = 41 *2 \\3x = 82 \\[/tex]

  • divide both sides by 3

[tex]\frac{3x}{3} = \frac{82}{3}[/tex]

[tex]x = \frac{82}{3}[/tex]

The number is   [tex]\frac{82}{3}[/tex]  .

What is fraction?

Fractions , represent a numerical value that expresses a part of a whole. The whole can be any number, a specific value, or a thing. Fractions are represented in the form of p/q. For example, ¼, ½, ¾, and so on.

According to the question

Let the number be x .

If 3/4 of a certain number is equal to 41/2

i.e

[tex]\frac{3}{4}x = \frac{41}{2}[/tex]

x = [tex]\frac{41}{2} *\frac{4}{3}[/tex]

x = [tex]\frac{82}{3}[/tex]

Hence, the number is   [tex]\frac{82}{3}[/tex]  .

To know more about fraction here:

https://brainly.com/question/10354322

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