Mixed Number / Improper Fraction Converter
Convert between mixed numbers and improper fractions.
Enter 3 1/2 to get 7/2, or enter 7/2 to get 3 1/2.
Conversion Result
Mixed number to improper fraction:
whole n/d → (whole × d + n) / d
Example: 3 1/2 → (3 × 2 + 1) / 2 = 7/2
Improper fraction to mixed number:
n/d → (n ÷ d) whole, remainder/d
Example: 7/2 → 7 ÷ 2 = 3 remainder 1 → 3 1/2
Steps:
- For mixed → improper: Multiply whole number by denominator, add numerator, keep denominator
- For improper → mixed: Divide numerator by denominator. Quotient is whole, remainder is new numerator
Tips:
- A proper fraction has numerator < denominator (e.g., 3/4)
- An improper fraction has numerator ≥ denominator (e.g., 7/4)
- A mixed number combines a whole number and proper fraction (e.g., 1 3/4)