Fraction Calculator
Add, subtract, multiply and divide fractions. With simplifying and expanding. Online calculator with solution path and worked examples.
First fraction
Second fraction
Result
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Note: These calculations are for informational purposes only and do not replace professional tax or financial advice. All information without guarantee.
Frequently Asked Questions
How do I add fractions?
Find a common denominator, convert both fractions, then add the numerators. For example: 1/3 + 1/4 = 4/12 + 3/12 = 7/12.
How do I convert a fraction to a decimal?
Divide the numerator by the denominator. For example, 3/4 = 3 divided by 4 = 0.75. To convert to a percentage, multiply the decimal by 100.
What is the Fraction Calculator?
The fraction calculator performs all basic operations with fractions: addition, subtraction, multiplication, division, simplification and conversion.
How does the Fraction Calculator work?
Enter two fractions and choose the operation. The calculator performs the computation, simplifies the result and shows the working. Conversion between fractions, decimals and percentages is available.
Key Data and Facts
Addition: a/b + c/d = (ad + bc) / bd. Multiplication: a/b * c/d = ac / bd. Division: a/b / c/d = a/b * d/c. Simplify: divide numerator and denominator by GCD.
Step-by-Step Guide
So rechnen Sie mit Bruechen step by step: 1. Zwei Brueche enter: Zaehler und Nenner fuer jeden Bruch. 2. Rechenart choose: Addition, Subtraktion, Multiplikation oder Division. 3. Berechnung durchfuehren: Addition/Subtraktion: Auf gemeinsamen Nenner bringen (Hauptnenner = kgV der Nenner), dann Zaehler addieren/subtrahieren. Multiplikation: Zaehler x Zaehler, Nenner x Nenner. Division: Mit dem Kehrwert multiplizieren (a/b geteilt durch c/d = a/b mal d/c). 4. Ergebnis kuerzen: Zaehler und Nenner durch den groessten gemeinsamen Teiler (ggT) dividieren. 5. Optional in Dezimalzahl oder Prozent umwandeln: Dezimal = Zaehler / Nenner. Prozent = Dezimal x 100. 6. Gemischte Zahlen: 7/4 = 1 3/4 (ganzzahliger share + Rest als Bruch). Der Rechner zeigt jeden Schritt im Loesungsweg an.
Calculation Example
3/4 + 2/3: Hauptnenner = 12. 3/4 = 9/12, 2/3 = 8/12. Ergebnis: 17/12 = 1 5/12. | 3/4 x 2/5 = 6/20 = 3/10 = 0,3.
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