Certainly! Let's breakdown the phrase "the ratio of 9 more than x to x" into mathematical terms.
The phrase "9 more than x" translates to "x + 9". This is simply x, the variable in question, plus 9.
The phrase "to x" means we're comparing the expression "x + 9" to x itself.
A ratio compares two quantities, often expressed in terms of "a to b" or \( \frac{a}{b} \).
So, the ratio of "9 more than x" to x is mathematically represented as \( \frac{x + 9}{x} \).
This is the expression you're looking for and is already in its simplest form. It describes the relationship between "x + 9" and "x", which is what was originally asked for. If needed, this expression can be simplified further only in cases where there's a specific numeric value for x (except x cannot be zero because division by zero is not defined).