Mixed number to improper fraction

Enter the whole number, numerator and denominator. You need this step before multiplying or dividing mixed numbers.

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How to use it

  1. Enter whole number, numerator and denominator.
  2. The result appears straight away and updates as you edit.
  3. Copy the result, or copy a link that keeps the same values to share it.

How it is calculated

New numerator = whole × denominator + numerator, over the same denominator

Example

Inputs: Whole number = 2, Numerator = 1, Denominator = 3. Result: Improper fraction: 7/3; Decimal: 2.3333333333.

Limits and caveats

  • Put a minus sign on the whole number only; -2 1/3 means -(2 + 1/3).

Questions about this tool

How do I convert 2 1/3 to a fraction?

Multiply 2 by 3 and add 1 to get a numerator of 7, so the fraction is 7/3.

What is an improper fraction?

A fraction whose numerator is equal to or larger than its denominator, such as 7/3 or 4/4.

Why does 3 2/4 show as 7/2?

The raw result 14/4 is reduced by dividing both parts by 2.