117 : x = 9

To solve the equation \( \frac{117}{x} = 9 \), you can follow these steps:

1. Multiply both sides of the equation by \( x \) to eliminate the fraction: \[ 117 = 9x \]

2. Now, divide both sides by 9 to solve for \( x \): \[ x = \frac{117}{9} \]

3. Simplify the fraction: \[ x = 13 \]

So, the value of \( x \) is \( 13 \).