J-Kit
Português

mixed number to improper fraction

Mixed Number to Improper Fraction

A mixed number a b/c equals the improper fraction (a×c + b)/c. Simplify by GCD to get the irreducible form.

Converting and simplifying mixed fractions

  • To convert 2 3/5 to improper: (2×5 + 3)/5 = 13/5. GCD(13,5) = 1, already irreducible.
  • Improper fractions are preferred in algebra; mixed numbers are more intuitive in everyday life.

Examples

Cooking

Input
1¾ = 7/4
Expected output
7/4 (irredutível)

Common measurement in recipes.

Reducible

Input
2 4/6
Expected output
8/6 → 4/3

GCD(8,6)=2, simplifies to 4/3.

Full tool FAQ

Simplifying means dividing both the numerator and denominator by their Greatest Common Divisor (GCD) until no integer greater than 1 divides both. The resulting fraction is equivalent but in its most reduced form.

Frequently asked questions

What is a proper vs improper fraction?

Proper: numerator < denominator (e.g. 3/4). Improper: numerator ≥ denominator (e.g. 7/4).

Does this page replace official or professional review?

No. It helps explain the scenario and use the tool more safely, but real decisions should consider official sources, full context and qualified guidance when needed.