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Verhaltnis-Rechner.

Verhaltnisse vereinfachen, aquivalente Verhaltnisse finden und Proportionen losen

Berechnung auf dem GerätKeine Anmeldung
01

Werte eingeben

Ergebnisse werden während der Eingabe aktualisiert.

Berechnungsmodus

Format: 4:8 oder "4 zu 8" oder 4,8 oder 4 8

Vereinfachtes Verhaltnis: 1 : 2

Vereinfachtes Verhaltnis

1 : 2
Geteilt durch 4
Als Prozentsatze: 33.3% : 66.7%

Als Prozentsatze

33.3% : 66.7%
Als Bruche: 4/12 : 8/12

Als Bruche

4/12 : 8/12
Als Dezimalzahlen: 0.33 : 0.67

Als Dezimalzahlen

0.33 : 0.67

Aquivalente Verhaltnisse

1:2
×2
2:4
×3
3:6
×4
4:8
×5
5:10
×6

So geht's

Verhaltnis: Ein Vergleich von zwei oder mehr Zahlen, der zeigt, wie oft ein Wert in einem anderen enthalten ist.

Kurzen: Vereinfachen: Ein Verhaltnis auf die kleinsten ganzen Zahlen reduzieren durch Division mit dem ggT.

Beispiel: 4:8 wird zu 1:2 (beide durch 4 geteilt)

Cite this calculator

Canonical URL: https://mathify.one/de/math/ratio

Cite as: Mathify. (2026). Verhaltnis-Rechner. https://mathify.one/de/math/ratio

Use Cases

Simplify ratios for recipes or mixtures

When a recipe calls for a ratio of ingredients, use the calculator to reduce it to simplest form for easier scaling or to adjust quantities.

Example: Simplify 8:12 to 2:3 for a paint mix.

Scale ratios for resizing or budgeting

If you need to scale a ratio to a new total or a specific component value, the calculator helps find the missing number to keep proportions accurate.

Example: If a model car is 1:24 scale and the real car is 4.8 m, find the model length.

Frequently Asked Questions

How do I simplify a ratio using this calculator?
Enter the two numbers of the ratio (e.g., 12 and 18). The calculator will find the greatest common divisor (GCD) and divide both numbers by it, giving you the simplified ratio in its lowest terms, such as 2:3.
Can this calculator scale a ratio to a target value?
Yes. If you have a ratio like 2:5 and need to find the equivalent ratio when one part becomes a specific number (e.g., 10), the calculator will compute the missing value to maintain the proportion, giving you 10:25.
How do I convert a ratio to a percentage or fraction?
Enter the ratio (e.g., 3:4). The calculator will show the fraction (3/4) and the percentage (75%). It also provides the decimal equivalent (0.75) for quick reference.

Tips & Common Mistakes

Tips

  • Always enter the ratio numbers in the order they appear (e.g., first number:second number) to get the correct simplified form.
  • Use the scaling feature when you need to find an equivalent ratio with a known part, such as adjusting a recipe for more servings.
  • Check the percentage and decimal outputs to understand the ratio's value in different formats, useful for comparisons.
  • For ratios with more than two numbers, simplify each pair separately or use the calculator for each pair to ensure accuracy.

Common Mistakes to Avoid

  • Entering the numbers in the wrong order, which can lead to an incorrect simplified ratio or scaled value.
  • Forgetting to simplify the ratio fully, but the calculator does it automatically, so ensure you use the simplified result for further calculations.
  • Assuming the percentage is the first number divided by the second, but it's actually the first number divided by the sum of both numbers (e.g., 2:3 gives 40%, not 66.7%).

Last updated: August 13, 2026