In the case of one third , meaning 33.33% (1/3) of something, the word tiers is 'un mot invariable' and doesn't agree with the noun it applies to(or the person speaking)
Un tiers des électeurs ne s'est pas déplacé pour voter = One third of the electorate didn't go and vote
Un tiers de la famille a été décimé par les inondations = One third of the family was decimated by the floods
Un tiers de la foule était composé de femmes = A third of the crowd was made up of women
Hope this helps!
The adjective 'tiers/tierce' will only be used in certain expressions like 'tierce personne' or 'tierce partie' to mean a third party -
Also in the following expressions -
Le tiers-monde = The third World
Le Tiers-état = The third estate/tier of society
The noun 'tierce' is used in some card games to denote three cards following each other.
It has very limited use...
If you're saying that most of the time tiers does not agree in gender, I think that should be added to the main lesson. The way it is currently worded - "You use tiers (masculine) or tierce (feminine)" - with no additional follow-up information, suggests that it does agree in gender. If I hadn't read this comment I would have basically just learnt it completely wrong.
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