This fraction calculator converts a signed mixed number into an improper numerator and denominator, preserving the sign in the result.
Math
Mixed Number to Improper Fraction Calculator
Convert a signed mixed number to an improper fraction.
Calculator
About this calculator
Formula notes
improper numerator = sign x (absolute whole x denominator + absolute numerator); denominator stays as entered.
Worked examples
- Example: 3 2/5 becomes 17/5 because 3 x 5 + 2 = 17.
- -2 1/3 converts to -7/3 because the negative whole part becomes the numerator after multiplying 2 x 3 and adding 1.
How to use it
- Enter the whole number, numerator, and denominator.
- Keep the denominator nonzero; sign can be placed anywhere.
- Read the converted improper fraction.
Frequently asked questions
What if the fraction is negative?
The sign is handled by the numerator or whole number, and the resulting improper fraction carries that sign.
Can the denominator be a decimal?
No. This calculator accepts integer numerators and denominators for exact fraction conversion.
Limits and interpretation
- The input and result remain integers; decimals, expressions, and symbolic values are not handled.
- Very large integer inputs can exceed the exact integer range and should be avoided when exact arithmetic is required.