Mixed Number Calculator
This mixed number calculator does two things. It converts between a mixed number and an improper fraction, and it adds, subtracts, multiplies, and divides mixed numbers for you. Type your numbers and you'll get the answer as a mixed number, an improper fraction, and a decimal, all simplified, with the steps written out so the method is clear.
- Convert both ways
- Add, subtract, multiply, divide
- Mixed, improper, decimal
- Auto-simplified
- Steps shown
Last updated June 16, 2026 Convert and calculate Reviewed by the Calcowa math team
Enter whole numbers, with a bottom that isn't zero.
7 ÷ 3 = 2 remainder 1 → 2 1/3
What is a mixed number?
A mixed number is a whole number sitting next to a fraction, like 2 1/3, and it means two whole ones plus a third. An improper fraction writes the same value with the whole part folded into the top, so 2 1/3 is also 7/3, and it's the same number written two ways. They're equal, just dressed differently, and you'll convert between them constantly when working with fractions bigger than one.
Improper fraction to mixed number
Here's how to turn 7/3 into a mixed number:
- 1
Divide top by bottom7 ÷ 3 = 2 with a remainder of 1.
- 2
Write the whole numberThe 2 goes in front.
- 3
Add the remainderThe remainder 1 sits over the same bottom, giving 2 1/3.
Mixed number to improper fraction
To go the other way, multiply the whole number by the bottom, add the top, and keep the same bottom. For 2 1/3 that's 2 × 3 + 1 = 7, over 3, so 7/3. It's worth doing this before you add, multiply, or divide mixed numbers, because the arithmetic is much tidier once everything is a single improper fraction. The Convert mode above flips between the two forms instantly, so you don't do the arithmetic by hand.
Adding and multiplying mixed numbers
To add, subtract, multiply, or divide mixed numbers, turn each one into an improper fraction first, do the operation, then convert the answer back. For 1 1/2 + 2 1/3, you'd use 3/2 + 7/3, find the common bottom 6, and get 9/6 + 14/6 = 23/6, which is 3 5/6. The Calculate mode handles all four operations and it'll show the steps, and the fraction calculator works the same way when there's no whole number.
Improper fraction to mixed number chart
| Improper | Mixed number |
|---|---|
| 7/3 | 2 1/3 |
| 11/4 | 2 3/4 |
| 9/2 | 4 1/2 |
| 17/5 | 3 2/5 |
| 10/3 | 3 1/3 |
Frequently asked questions
Why convert to an improper fraction before calculating?
Because it keeps everything in one piece. Working on the whole and fraction parts separately invites carrying mistakes, but a single improper fraction follows the normal fraction rules cleanly, and you'll convert back only at the end.
Divide the top by the bottom. The whole-number answer goes in front, and the remainder becomes the new top over the same bottom. For 7/3, 7 ÷ 3 is 2 remainder 1, so it's 2 1/3. The calculator shows this conversion both ways.
Multiply the whole number by the bottom, add the top, and keep the same bottom. So 2 1/3 becomes (2 × 3 + 1) over 3, which is 7/3. It's the reverse of the division you'd use to go the other way.
The easiest way is to turn each mixed number into an improper fraction, give them a common denominator, add, then change the result back to a mixed number. So 1 1/2 + 2 1/3 becomes 3/2 + 7/3 = 9/6 + 14/6 = 23/6, which is 3 5/6. The Calculate mode above does every step, so you don't track the parts yourself.
Convert them to improper fractions first. To multiply, multiply the tops and the bottoms; to divide, flip the second fraction and multiply. Then simplify and convert back to a mixed number. Doing it as improper fractions avoids the mistakes you'd hit working on the whole and fraction parts separately.
Convert the fraction part to a decimal by dividing, then add the whole number. So 2 1/3 is 2 + (1 ÷ 3) = 2.333. The result above shows the decimal next to the mixed number and the improper fraction, so you've got all three forms.
They're two ways to write the same value above one. A mixed number pairs a whole number with a fraction, like 2 1/3, while an improper fraction keeps it all on top, like 7/3. Neither is more correct, so you pick whichever the question or recipe wants.
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