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CalcVerse

Bruchrechner

Add, subtract, multiply and divide fractions and mixed numbers. Results are simplified automatically and shown as a fraction, a mixed number and a decimal.

Die folgende Anleitung ist noch nicht auf Deutsch verfügbar und wird auf Englisch angezeigt. Der Rechner selbst ist vollständig übersetzt.

So verwenden Sie diesen Rechner

  1. Enter the first fraction. For a mixed number such as 2 ¾, enter 2 as the whole number, 3 as the numerator and 4 as the denominator. Leave the whole number at 0 for a simple fraction.
  2. Choose the operation.
  3. Enter the second fraction. For a negative mixed number, enter a negative whole number.

Formel

Fractions are combined over a common denominator, then simplified by dividing the numerator and denominator by their greatest common divisor. Exact integer arithmetic avoids rounding errors.

a/b + c/d = (ad + bc) / bd
a/b × c/d = ac / bd
a/b ÷ c/d = ad / bc

Example

  1. 1/2 + 1/3 = (1×3 + 1×2) / (2×3) = 5/6.
  2. 2 ¾ × 1/2 = 11/4 × 1/2 = 11/8 = 1 3/8 = 1.375.

Häufige Fragen

How do I simplify a fraction?

Divide the numerator and denominator by their greatest common factor. For example, 18/24: GCF = 6, so 18/24 = 3/4. You can enter a fraction and add 0 to simplify it.

How do I convert a mixed number to an improper fraction?

Multiply the whole number by the denominator and add the numerator: 2 ¾ = (2 × 4 + 3)/4 = 11/4.

Can I divide by zero?

No. A denominator of zero or dividing by a fraction equal to zero is undefined, and the calculator will show an error.