Respuesta :

Given the following equation:

[tex]\frac{456}{n}=4.56​[/tex]

You can follow these steps in order to find the value of "n":

1. Apply the Multiplication Property of Equality by multiplying both sides of the equation by the variable "n":

[tex]\begin{gathered} (n)(\frac{456}{n})=(4.56​)(n) \\ \\ 456=4.56n \end{gathered}[/tex]

2. Apply the Division Property of Equality by dividing both sides of the equation by 4.56:

[tex]\begin{gathered} \frac{456}{4.56}=\frac{4.56n}{4.56} \\ \\ 100=n \end{gathered}[/tex]

Therefore, the answer is:

[tex]n=100[/tex]

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