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CalcVerse

Calculateur de fractions

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

Le guide ci-dessous n'est pas encore disponible en français et s'affiche en anglais. Le calculateur lui-même est entièrement traduit.

Comment utiliser ce calculateur

  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.

Formule

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.

Questions fréquentes

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.