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Online Mixed Number to Improper Fraction Calculator
Convert a mixed number into an improper fraction, with the step-by-step working shown.
Improper fraction
1 × 3 + 2
3
=
5
3
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What Is This Tool?
This calculator converts a mixed number — a whole number plus a fraction, like 1 2/3 — into an improper fraction. It multiplies the whole number by the denominator, adds the numerator, and places the result over the same denominator. It also shows the working, so 1 2/3 becomes (1 × 3 + 2) / 3 = 5/3.
How to Use This Tool?
- Enter the whole-number part of the mixed number.
- Enter the numerator and denominator of the fraction part.
- Click Calculate to convert it.
- Read the working and the resulting improper fraction.
Key Features
- Converts any mixed number to an improper fraction.
- Shows the step-by-step working behind the conversion.
- Keeps the original denominator so the result matches the steps.
- Handles negative mixed numbers.
- Uses exact whole-number math, with no rounding.
Examples
- 1 2/3 converts to 5/3.
- 2 1/4 converts to 9/4.
- 3 1/2 converts to 7/2.
- -1 2/3 converts to -5/3.
Common Use Cases
- Preparing fractions for multiplication or division.
- Rewriting measurements as a single fraction.
- Checking fraction conversion homework.
- Learning how mixed numbers relate to improper fractions.
- Setting up fractions for further calculation.
Tips & Best Practices
- Enter both the numerator and denominator of the fraction part.
- Use a minus sign on the whole part for a negative mixed number.
- Keep the denominator greater than zero.
- Read the working to see how the improper fraction is built.
- Reduce the result separately if you also need lowest terms.
Limitations
- The denominator must be a positive whole number.
- The result is shown unreduced to match the working.
- It converts one mixed number at a time.
- A fraction part needs both a numerator and a denominator.
Frequently Asked Questions
- How do you convert a mixed number to an improper fraction?
- Multiply the whole number by the denominator, add the numerator, and keep that total over the original denominator. For 1 2/3 that is (1 × 3 + 2) / 3 = 5/3.
- What is an improper fraction?
- An improper fraction has a numerator greater than or equal to its denominator, such as 5/3.
- Is the result reduced to lowest terms?
- No. It is left unreduced so it matches the working shown. You can reduce it separately if needed.
- Can I convert a negative mixed number?
- Yes. Put a minus sign on the whole part, and the whole value is treated as negative.
Key Terminology
- Mixed number
- A whole number combined with a proper fraction, like 1 2/3.
- Improper fraction
- A fraction whose numerator is greater than or equal to its denominator.
- Numerator
- The top number of a fraction.
- Denominator
- The bottom number of a fraction.
- Whole number
- The integer part of a mixed number.