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]