Mixed Number to Improper Fraction Converter

Turn a mixed number (a whole number plus a fraction) into a single improper fraction. Enter the three parts and the converter does the arithmetic instantly — handy for adding or multiplying mixed numbers.

How to use this calculator

Enter the whole part, the numerator, and the denominator of your mixed number, then press Calculate — the result updates as you type. A zero denominator is rejected because division by zero is undefined.

How it works

Improper numerator = (whole × denominator) + numerator; the denominator stays the same. For negative mixed numbers the sign applies to the whole value.

Worked example

3 4/5 → (3 × 5 + 4) = 19 → 19/5 = 3.8.

Reference data

This page relies on no external dataset — the conversion is pure arithmetic. The only rule used is the definition: an improper numerator equals (whole × denominator) + numerator, with the denominator unchanged.

Method & sources

The converter multiplies the whole part by the denominator, adds the numerator, and keeps the denominator — the standard definition of an improper fraction. For a negative whole number the magnitude is computed the same way and the negative sign is applied to the entire result, so −3 4/5 becomes −19/5. No external data is used; the method is basic fraction arithmetic.

• No external data sources — the conversion is pure arithmetic, derived from the definition of a mixed number.