Let's break this down step by step.
-
Amount of conditioner used on Peaches: Denise used \( \frac{1}{6} \) of the bottle on Peaches.
-
Amount left after using it on Peaches: Since she started with the entire bottle (which we can think of as 1 whole bottle), the amount left after using \( \frac{1}{6} \) is: \[ 1 - \frac{1}{6} = \frac{6}{6} - \frac{1}{6} = \frac{5}{6} \]
-
Conditioner used on Butter: Denise then used \( \frac{1}{3} \) of what was left on Butter. The amount left was \( \frac{5}{6} \), so the amount used on Butter is: \[ \frac{1}{3} \times \frac{5}{6} = \frac{5}{18} \]
-
Conclusion: Thus, Denise used \( \frac{5}{18} \) of the bottle of conditioner on Butter.