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Dieser Rechner wird derzeit auf Englisch angezeigt, während die Übersetzung vorbereitet wird.

Mathematik

Verifizierter Rechner mit transparenter Formel

Mathematik

Add Fractions Calculator.

Adds two fractions and returns the result in simplest form.

Ergebnisse werden während der Eingabe live aktualisiert.
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Ihre Eingaben

So funktioniert es

  1. 1

    Find a common denominator by multiplying the two denominators.

  2. 2

    Convert each fraction to an equivalent fraction with that common denominator.

  3. 3

    Add the numerators and keep the common denominator.

  4. 4

    Simplify the resulting fraction if possible.

(numerator1*denominator2 + numerator2*denominator1) / (denominator1*denominator2)

Häufig gestellte Fragen

What if the denominators are the same?

Then you can simply add the numerators and keep the denominator, then simplify.

Can I add more than two fractions?

This calculator handles two fractions at a time. For more, add them in pairs.

How do I simplify the result?

Divide the numerator and denominator by their greatest common divisor (GCD).

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Ergebnisse

Formel geprüft

Sum

0,833

Fragen Sie alles

Schätzung nur zur allgemeinen Orientierung – wichtige Entscheidungen mit einem geeigneten Fachmann verifizieren.

So funktioniert es

Adds two fractions and returns the result in simplest form.

  1. Find a common denominator by multiplying the two denominators.
  2. Convert each fraction to an equivalent fraction with that common denominator.
  3. Add the numerators and keep the common denominator.
  4. Simplify the resulting fraction if possible.

Formeln

Die Mathematik hinter diesem Rechner, aufgeschrieben, damit Sie das Ergebnis überprüfen können.

Addition of fractions

a/b + c/d = (a*d + c*b) / (b*d)

Multiply the numerator of each fraction by the denominator of the other, sum them, and divide by the product of the denominators.

Example:

Input: 1/2 + 1/3

Calculation: (1*3 + 1*2) / (2*3) = 5/6

Result: ≈ 0.8333

Anwendungsfälle im Alltag

Wo diese Berechnung im täglichen Leben vorkommt.

Cooking measurements

Combine fractional ingredient amounts, like 1/2 cup plus 1/3 cup.

Example: 1/2 + 1/3 = 5/6 cup

Time calculations

Add fractional hours or minutes, such as 1/4 hour plus 1/2 hour.

Example: 1/4 + 1/2 = 3/4 hour

Construction and DIY

Sum fractional lengths, like 3/8 inch plus 1/4 inch.

Example: 3/8 + 1/4 = 5/8 inch

Tipps und häufige Fehler

Tips

  • Always check if the denominators are the same first.
  • Simplify the final fraction to its lowest terms.
  • Use negative numerators for negative fractions.
  • Double-check your arithmetic when multiplying large numbers.

Common Mistakes to Avoid

  • Forgetting to multiply the numerator when converting to a common denominator.
  • Adding denominators directly instead of finding a common denominator.
  • Not simplifying the final fraction.

Annahmen und Einschränkungen

  • Use the stated inputs and units.
  • Results are estimates for planning and education.
  • Check measurements and source data before making an important decision.