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Mixed Number Calculator
Enter two mixed numbers like 1 1/2 and 2 3/4, choose an operation and get the answer as a simplified mixed number, an improper fraction and a decimal, with every step. Switch modes to convert between improper fractions and mixed numbers.
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What do you want to do?
Type mixed numbers with a space: 2 3/4. Fractions (7/4), whole numbers and decimals work too; use − for negatives.
Enter an improper fraction, a mixed number or a decimal.
Enter your values to see the result.
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How to use the Mixed Number Calculator
- Choose a mode: calculate with two numbers, or convert one number.
- Type each mixed number with a space between the whole part and the fraction, e.g. 2 3/4.
- Pick the operation (+, −, ×, ÷).
- Read the result as a mixed number, improper fraction and decimal, and follow the steps.
Mixed number rules at a glance
| Operation | Method | Example |
|---|---|---|
| Mixed → improper | (whole × denominator + numerator) / denominator | 2 3/4 = 11/4 |
| Improper → mixed | numerator ÷ denominator = whole, remainder over denominator | 11/4 = 2 3/4 |
| Add | common denominator, add numerators | 1 1/2 + 2 3/4 = 4 1/4 |
| Subtract | common denominator, subtract numerators | 5 1/3 − 2 5/6 = 2 1/2 |
| Multiply | multiply improper fractions straight across | 2 1/4 × 1 2/3 = 3 3/4 |
| Divide | multiply by the reciprocal | 3 1/2 ÷ 1 3/4 = 2 |
Common mixed numbers as decimals
| Mixed number | Improper fraction | Decimal |
|---|---|---|
| 1 1/4 | 5/4 | 1.25 |
| 1 1/3 | 4/3 | 1.333… |
| 1 1/2 | 3/2 | 1.5 |
| 2 2/3 | 8/3 | 2.666… |
| 2 3/4 | 11/4 | 2.75 |
| 3 1/8 | 25/8 | 3.125 |
| 3 5/8 | 29/8 | 3.625 |
Frequently asked questions
How do you add mixed numbers?
Convert each mixed number to an improper fraction, rewrite both over the lowest common denominator, add the numerators, simplify and convert back. 1 1/2 + 2 3/4 = 3/2 + 11/4 = 6/4 + 11/4 = 17/4 = 4 1/4.
How do you multiply mixed numbers?
Convert to improper fractions, multiply the numerators and the denominators, then simplify. 2 1/4 × 1 2/3 = 9/4 × 5/3 = 45/12 = 15/4 = 3 3/4. Do not multiply the whole parts and fractions separately.
How do you divide mixed numbers?
Convert to improper fractions and multiply the first by the reciprocal of the second. 3 1/2 ÷ 1 3/4 = 7/2 × 4/7 = 28/14 = 2.
How do I convert an improper fraction to a mixed number?
Divide the numerator by the denominator. The quotient is the whole number, the remainder is the new numerator and the denominator stays the same: 17/4 = 17 ÷ 4 = 4 remainder 1 = 4 1/4.
How do I convert a mixed number to an improper fraction?
Multiply the whole number by the denominator and add the numerator; keep the denominator. 3 5/8 = (3 × 8 + 5)/8 = 29/8.
How do I enter a negative mixed number?
Put a minus sign in front: −2 1/3 means −(2 + 1/3) = −7/3. The sign applies to the whole mixed number.
Are all the tools on FreeToolCabin tested for quality and accuracy?
Yes! Every tool on our site undergoes automated Q/A testing in real browser environments to ensure high precision, correct output, and zero errors. If you happen to spot a bug or have a suggestion, please contact us at [email protected] and our team will review it right away.
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