We are given that $\frac{1}{9}$ L of oil was used. This amount is $\frac{1}{8}$ of the original amount of oil. We are asked to find the original amount of oil.

1. Problem Description

We are given that $\frac{1}{9}$ L of oil was used. This amount is $\frac{1}{8}$ of the original amount of oil. We are asked to find the original amount of oil.

2. Solution Steps

Let $x$ be the original amount of oil in liters.

We are given that $\frac{1}{8}$ of the original amount of oil is $\frac{1}{9}$ L. This can be written as the equation:

$\frac{1}{8}x = \frac{1}{9}$

To solve for $x$, we multiply both sides of the equation by 8:

$x = 8 \times \frac{1}{9} = \frac{8}{9}$

3. Final Answer

The original amount of oil was $\frac{8}{9}$ L.