Fraction Converter
Convert between mixed numbers and improper fractions
Calculator
Enter any fraction or mixed number and convert instantly.
About the Fraction Converter
The Fraction Converter lets you instantly convert between mixed numbers (like 3 3/4) and improper fractions (like 15/4). It also simplifies all values automatically, ensuring your results are clean, accurate, and mathematically correct.
What You Can Convert
- Mixed Number → Improper Fraction: Converts whole+numerator/denominator into a single fraction.
- Improper Fraction → Mixed Number: Breaks larger fractions into whole and fractional parts.
- Automatic Simplification: Every result is reduced to lowest terms.
- Supports Positive and Negative Values: Handles any real fractional input.
Formulas Used
- Mixed to Fraction: numerator = (whole × denominator) + numerator
- Fraction to Mixed: whole = ⌊numerator ÷ denominator⌋ remainder = numerator mod denominator
- Simplification: Divide numerator & denominator by their GCD.
How to Use the Fraction Converter
- Select whether you are entering a fraction or mixed number.
- Fill in the numerator, denominator, and whole number if applicable.
- The results update automatically, showing both forms.
Why Convert Fractions?
Converting between mixed and improper fractions is essential in algebra, engineering, geometry, measurements, construction, cooking, and more. Many formulas require improper fractions for calculation, while mixed numbers are easier for reading measurements. This tool gives you both forms instantly.