What is the denominator of this fraction?

I am learning how to use the present participle in English.

He won the Nobel Prize for that thesis.

It's difficult to solve a part of this problem.

I'm feeling good today.

In French, the partitive article plays a very important role.

This building is divided into two sections: offices and residences.

She is a student in the department of literature.

This document contains important information.

When he cooks, he always adds seasoning by measuring by eye.