Fraction Calculator
Enter two fractions, pick an operation, and you get a simplified answer with the working. Mixed numbers and decimals are fine too.
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The formula
a/b + c/d = (ad + bc) / bd. a/b x c/d = ac / bd. a/b / (c/d) = ad / bc.
How to add and subtract fractions
To add or subtract, the fractions need the same denominator (the bottom number). The easy route is to cross-multiply: for 1/2 + 1/3, work out 1 x 3 + 1 x 2 = 5 on top and 2 x 3 = 6 on the bottom to get 5/6.
You can use the least common denominator for smaller numbers, but cross-multiplying always works and the calculator simplifies the result at the end.
Multiplying and dividing
Multiplying is the simplest: multiply the tops, multiply the bottoms. 2/3 x 3/4 = 6/12 = 1/2.
To divide, flip the second fraction and multiply. 1/2 divided by 1/4 becomes 1/2 x 4/1 = 4/2 = 2. A good way to picture it is "how many quarters fit into a half?".
Worked example with a mixed number
What is 1 3/4 + 2/3? First turn 1 3/4 into 7/4. Then 7/4 + 2/3 = (7 x 3 + 2 x 4) / 12 = 29/12, which is 2 5/12 as a mixed number.
Examples to check
Type these into the calculator above to see how it behaves. Every result below was produced by the same calculator code that runs on this page.
| What you enter | What you get |
|---|---|
| First fraction: 1/2; Add (+); Second fraction: 1/3 | Result: 5/6 |
| First fraction: 3/4; Subtract (-); Second fraction: 1/6 | Result: 7/12 |
| First fraction: 2/3; Multiply (x); Second fraction: 3/5 | Result: 2/5 |
| First fraction: 1 1/2; Divide (/); Second fraction: 3/4 | Result: 2 |
Fraction Calculator: frequently asked questions
What happens if I divide by zero?
You get a message instead of an answer, because division by zero is undefined. The same goes for a denominator of zero.
How do I convert an improper fraction to a mixed number?
Divide the top by the bottom. The whole part is the quotient and the remainder goes over the original denominator. 29/12 is 2 remainder 5, so 2 5/12.
Can I type mixed numbers?
Yes. Type a whole number, a space and then the fraction, for example 2 3/4. Decimals like 0.75 also work and are converted into fractions.
Does the calculator reduce the answer?
Always. The result is shown in its simplest form, as a mixed number and as a decimal, so you can use whichever your homework asks for.
How accurate is this calculator?
It uses standard double-precision arithmetic, accurate to about 15 significant digits. Results are rounded only for display.
Is what I enter in this calculator saved or sent anywhere?
No. The calculation runs in your browser, so what you enter is not sent to our servers. We only count, anonymously, whether a tool ran successfully.
Last reviewed: October 3, 2026