Fractions
Bruchzahlen
Examples of fractions
1/4 👉 ein viertel
- Translation
- one fourth (or a quarter)
7/8 👉 sieben achtel
- Translation
- seven eighths
1/100 👉 ein hundertstel
- Translation
- one hundredth
1/1000 👉 ein tausendstel
- Translation
- one thousandth
Construction of the fractions
Fractions consist of a numerator (der Zähler), a fraction bar (der Bruchstrich) and a denominator (der Nenner). We create fractions by putting a cardinal number (e.g. ein, zwei, fünf) in the numerator and an ordinal number (e.g. dritt, fünft) with the suffix -el in the denominator. All fractions except for the number one (eins) in the numerator and the half (halb) are not inflected.
Fraction as a noun
When we use a fraction as a noun, we write it with a capital letter.
Ich schneide Tomaten immer in Viertel.
- Translation
- I always cut tomatoes in quarters.
- Explanation
- Viertel in this example is used as a noun "a quarter".
Describing weight or measure
When describing the weigh or measurements, we write numerals in lower case.
ein viertel Liter Wasser
- Translation
- a quarter of a liter of water
The numerals eins and halb
The numeral eins in the numerator is inflected like an indefinite article, (always singular) and the numeral halb is inflected like an adjective.
ein halbes Stück Serrano Schinken
- Translation
- half a piece of Serrano ham
Ich habe einen viertel Inhalt der Dose in den Topf eingegossen.
- Translation
- I poured a quarter of the contents of the can into the pot.
Exceptions and special cases
The noun derived from the numeral halb (half) is die Hälfte (a half).
Ich habe die halbe Torte gegessen. 👉 Ich habe die Hälfte der Torte gegessen.
- Translation
- I ate half the cake. 👉 I ate a half of the cake.
Numerals using the ein halb (half)
When the numeral ein halb is preceded by a whole number, we write everything as one word.
1 1/2 👉 ein(und)einhalb / anderthalb
- Translation
- One and a half
12 1/2 👉 zwölf(und)einhalb
- Translation
- Twelve and a half.
Fragment of a noun
When a fraction is combined with a noun to obtain the meaning of a fragment of the noun, then the newly created word uses only the denominator and the noun.
Halbschuh (Einhalbschuh)
- Translation
- a shoe (a type of smart shoes with height to the ankle [think brogue]; in some languages literally: a half-shoe)
Achtelfinale (Einachtelfinale)
- Translation
- One eighth finals
Viertelstunde (Einviertelstunde)
- Translation
- quarter (15 minutes)