Learn Danish: Kvinden ser betydelig fremgang i forhold til sit gamle niveau. - The woman sees significant progress compared to her old level.

This phrase literally means "in relation to" or "in proportion to", but is commonly used in Danish to mean "compared to". Here, it acts as a complex preposition linking the progress she sees to the baseline of her old level.

Why is the word sit used here instead of hendes?

We use the reflexive possessive pronoun sit because the level belongs to the subject of the sentence (Kvinden). If we used hendes, it would imply she is comparing her progress to some other woman's level. It is sit rather than sin because niveau is a neuter or et-word.

Since niveau is a neuter word, why is the adjective gamle instead of gammelt?

Even though niveau is neuter, it is preceded by the possessive pronoun sit. In Danish, possessive pronouns trigger the definite (weak) form of the adjective, which almost always ends in -e, no matter the gender of the noun.

Why doesn't betydelig have an -e or -t ending?

The adjective betydelig modifies fremgang, which is a common gender or en-word (en fremgang). Because the phrase "significant progress" is indefinite and singular, the adjective stays in its base form with no extra endings.