Fjórir fimmtu af heimatilbúna glerhreinsinum eru bara vatn.

From Lesson 411:Complex fractions·Icelandic

Questions & Answers about Fjórir fimmtu af heimatilbúna glerhreinsinum eru bara vatn.

How exactly does the fraction fjórir fimmtu work grammatically?
In Icelandic, complex fractions are formed by implying the masculine word hlutar (parts). The numerator fjórir is the cardinal number 'four' in the masculine plural. The denominator fimmtu is the weak plural form of the ordinal number fimmti (fifth). You are literally saying 'four fifth (parts)'.
Why does the sentence use the plural verb eru when discussing the glass cleaner?
The grammatical subject of the sentence is the fraction fjórir fimmtu. Because the numerator is greater than one, the fraction acts as a plural subject and requires the plural verb eru, even though the glass cleaner it refers to is a singular mass noun.
Why do we use the form heimatilbúna instead of the dictionary form heimatilbúinn?
The adjective modifies glerhreinsinum, which has the definite article suffix attached. A definite noun forces any descriptive adjectives into the weak declension. For a masculine, dative, singular adjective, the weak ending is -a.
What dictates the case of the phrase heimatilbúna glerhreinsinum?
The entire phrase is in the dative case because it directly follows the preposition af (of), which strictly governs the dative. Both the noun and its modifying adjective must decline to match.

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