Power Calculators

½ Mixed Number to Improper Fraction Calculator

Convert a mixed number into an improper fraction.

No ratings yet — be the first
Rate it: ★ ★ ★ ★ ★

Enter details

Fill in the details and click Calculate to see your results.


Also available in our Android app, with charts and full breakdown tables.

📘 About the Mixed to Improper

For a positive mixed number, improper numerator = whole x denominator + numerator.

This calculator is intended for standard mixed-number input.

🧮 Formula

Formula
Improper numerator = whole x denominator + numerator
Improper numerator = whole x denominator + numerator

✏️ Worked example

2 1/3

You enter
Whole Number2
Fraction Numerator1
Fraction Denominator3
You get
Improper Numerator7
Improper Denominator3
Decimal Value2.33333

2 1/3 becomes 7/3, about 2.33333.

Try this example →

🧭 How to use this calculator

What you enter

  • Whole Number
  • Fraction Numerator
  • Fraction Denominator

What you get

  • Improper Numerator
  • Improper Denominator
  • Decimal Value

💡 Important notes

  • Use a non-zero denominator.
  • For standard mixed numbers, the fractional numerator is normally smaller than the denominator.

❓ Frequently asked questions

How do I convert a mixed number?

Multiply the whole number by the denominator, add the numerator and keep the denominator.

What is 3 1/2 as an improper fraction?

It is 7/2.

Can the numerator be larger than the denominator?

That input is better treated as an improper fraction rather than a standard mixed number.