German percentages and fractions express parts of a whole and are widely used in contexts such as shopping discounts, statistical data, and recipes.
- Percentage: der Prozentsatz — Represents a part per hundred (%).
- Fraction: der Bruch — Describes a part of a whole, with a numerator and denominator.
- Percentages and fractions are interchangeable; for example, 50% = 1/2 (ein Halb).
- Understanding these concepts helps with practical math and improves comprehension of numeric information in German.
Percentages are called 'der Prozentsatz' in German.
Fractions are 'der Bruch', with 'Zähler' for numerator and 'Nenner' for denominator.
Fractions
Fractions (Brüche) represent parts of a whole. The numerator (Zähler) is the number of parts considered, and the denominator (Nenner) is the total number of equal parts.
- Typical fractions:
- 1/2 - ein Halb(e)
- 1/3 - ein Drittel
- 1/4 - ein Viertel
- 1/5 - ein Fünftel
- Plural forms are used for numerators greater than one: 2/3 = zwei Drittel.
- Fractions are used in recipes, measurements, and time.
| Fraction | German | Usage Example |
|---|---|---|
| 1/2 | ein Halb(e) | Ich esse ein halbes Brot. |
| 1/3 | ein Drittel | Ein Drittel der Klasse... |
| 1/4 | ein Viertel | Viertel Liter Milch... |
| 1/5 | ein Fünftel | Ein Fünftel vom Kuchen... |
'Zähler' (numerator) and 'Nenner' (denominator) are correct for fractions.
'ein Drittel' means 'one third'.
Percentages
Percentages (Prozentsätze) express parts per hundred. The symbol % is the same as in English.
- 1% = ein Prozent
- 50% = fünfzig Prozent
- Commonly used in discounts, interest rates, and statistics.
- To convert a fraction to a percentage, multiply by 100: 1/2 = 50% (fünfzig Prozent).
| % | German | Usage Example |
|---|---|---|
| 1% | ein Prozent | 1% Rabatt auf den Preis. |
| 10% | zehn Prozent | Zehn Prozent Steuer. |
| 50% | fünfzig Prozent | Fünfzig Prozent der Leute... |
Percentage is 'Prozentsatz' or 'Prozent' and is used for parts per hundred.
'25 percent' is 'fünfundzwanzig Prozent'.
Fractions and Percentages in Context
| Situation | Use | Example (German) | Example (English) |
|---|---|---|---|
| Shopping | Percentage | Der Rabatt beträgt 20%. | The discount is 20%. |
| Survey | Fraction or Percentage | Ein Drittel der Befragten sind... | One third of respondents are... |
| Cooking | Fraction | Nimm ein Viertel Liter Wasser... | Take a quarter liter of water... |
| Banking | Percentage | Der Zinssatz beträgt 3% pro Jahr. | The interest rate is 3% per year. |
| School | Fraction or Percentage | Du hast 90% der Punkte erreicht. | You got 90% of the points. |
They are used in shopping, cooking, banking, school, and many other areas.
'one half' is 'ein Halb' and '50 percent' is 'fünfzig Prozent'.
German percentages and fractions are key for understanding parts of a whole in everyday life, from shopping to school.
- Bruch is fraction, with Zähler and Nenner for numerator and denominator.
- Prozentsatz (percentage) describes parts per hundred.
- Mastery of these terms aids in practical communication and numerical literacy.
'der Bruch' means fraction.
3/4 heißt 'drei Viertel'.
'Bruch' und 'Prozentsatz' sind korrekt für 'part of a whole'.