I tuoi progetti e le nostre vacanze sono importanti.

Breakdown of I tuoi progetti e le nostre vacanze sono importanti.

essere
to be
e
and
importante
important
tuo
your
nostro
our
il progetto
the project
la vacanza
the vacation

Questions & Answers about I tuoi progetti e le nostre vacanze sono importanti.

Why does the sentence use i tuoi and le nostre instead of just tuoi and nostre?
In Italian, possessive adjectives almost always need a definite article (like "the") in front of them. You literally say "the your projects" (i tuoi progetti) and "the our vacations" (le nostre vacanze). The main exception to this rule is with singular family members, which do not take the article.
How do I know which article and ending to use for the possessives?
They must match the gender and number of the thing being owned, not the owner! Progetti (projects) is masculine plural, so it takes the masculine plural article i and possessive tuoi. Vacanze (vacations) is feminine plural, so it takes the feminine plural article le and possessive nostre.
In English we often say "our vacation" (singular). Why is vacanze plural here?
While the singular word vacanza exists, Italians almost always use the plural le vacanze to talk about a holiday, a trip, or time off from work or school. So "our vacation" translates naturally to the plural le nostre vacanze.
Progetti is masculine and vacanze is feminine. How does the adjective importanti agree with both?
The singular adjective is importante (important). Adjectives that end in -e in the singular do not change for gender, and their plural is always -i. So importanti works perfectly for both masculine and feminine nouns. Additionally, whenever you mix masculine and feminine subjects, Italian grammar always defaults to the masculine plural anyway!

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