Mixed Number to Improper Fraction
Enter a whole number and a fraction to get the equivalent improper fraction (and decimal).
Calculator
Use the Mixed Number to Improper Fraction
Result
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Formula
(whole × den + num) ÷ den
Step-by-step
- 1
Enter the mixed number
Provide the whole part and the fraction part.
- 2
Convert
Multiply the whole by the denominator, add the numerator.
Worked example
Example input: whole: 2, num: 1, den: 3
Result: 7/3
Related tools
- Fraction Simplifier
Reduce fractions to lowest terms.
- Decimal to Fraction
Convert decimals to fractions.
Frequently asked questions
How does 2 1/3 turn into 7/3?
Multiply the whole part by the denominator and add the numerator: 2 x 3 + 1 = 7, kept over the same 3. The calculator runs exactly that arithmetic for any mixed entry you type.
Does the improper result come back simplified?
Yes — numerator and denominator are reduced by their greatest common factor before display. In the reduced case where the denominator lands at 1 the answer appears as a plain whole number.
What if the denominator is zero?
Nothing divides by zero: parts of zero parts have no size to split. The calculator rejects that input instead of producing a value, which is also what every textbook did.