Show Parent Category of Post on Front Page

Dear Tech Support,

The front page currently shows the lowest level of subcategory to which each post is related. Since the names of these subcategories could be common to many parent categories (like on this Forum), the lack of information does not help users discern which may be more relevant to them in the first instance.

Is there an easy way to show either the full path (up to the main category) or 1 level up?

Many thanks again for your help!