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Gemischte Zahlen in unechte Brüche und zurück umwandeln — oder addieren, subtrahieren, multiplizieren und dividieren. Kostenloser Rechner mit Dezimalergebnis.
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Gemischte-Zahlen-Rechner
Verwandte Tools
Alle ToolsWhat Is a Mixed Number Calculator?
A mixed number combines a whole number and a proper fraction (like 2 ¾). This calculator converts between mixed and improper forms, simplifies fractions, and performs +, −, ×, and ÷ — showing every result as a mixed number, improper fraction, and decimal.
How to Use This Calculator
- Mixed → Improper: Enter whole, numerator, and denominator.
- Improper → Mixed: Enter numerator and denominator only.
- Arithmetic: Enter two fractions, pick +, −, ×, or ÷.
- Improper fractions: Set whole to 0 and enter num/den.
- Read results: Mixed number, improper fraction, and decimal.
Conversion & Arithmetic Formulas
Mixed → Improper: a b/c = (a × c + b) / c
Improper → Mixed: whole = num ÷ den, remainder = new numerator
Worked Example
Konvertieren 2 3/4 to an improper fraction, then add 1 1/2:
2 3/4 = (2 × 4 + 3)/4 = 11/4
1 1/2 = 3/2
11/4 + 3/2 = 11/4 + 6/4 = 17/4 = 4 1/4 (decimal: 4.25)
Common Use Cases
- Converting recipe measurements between mixed and improper fractions
- Checking fraction homework for addition, subtraction, and simplification
- Woodworking math with fractional inches
Frequently Asked Questions
How do you convert a mixed number to an improper fraction?
Multiply the whole number by the denominator, add the numerator, and keep the same denominator. Example: 2 3/4 = 11/4.
How do you convert an improper fraction to a mixed number?
Divide the numerator by the denominator. Quotient = whole, remainder = numerator. Example: 11/4 = 2 3/4.
Can this calculator add and subtract mixed numbers?
Yes. Use Arithmetic mode with +, −, ×, or ÷ on two mixed or improper fractions.
Does the calculator simplify fractions?
Yes. Results are automatically reduced to lowest terms — 4/8 becomes 1/2.
Can I enter improper fractions directly?
Yes. In Arithmetic mode, set whole to 0 and enter numerator and denominator. Mix improper and mixed numbers freely.
How do you add mixed numbers with different denominators?
The calculator converts both to improper fractions, finds a common denominator, performs the operation, then simplifies back to a mixed number.
What decimal precision does the result show?
Up to six decimal places so you can compare the exact value alongside the fractional form.
Is my homework data stored anywhere?
No. All fraction math runs in your browser. Numbers you enter are never uploaded or saved.