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Add, subtract, multiply, divide and simplify fractions and mixed numbers, or convert decimal to fraction. Every step shown.
Step-by-step working
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A fraction calculator does arithmetic with fractions and gives the answer in lowest terms. Enter fractions, mixed numbers or decimals, pick add, subtract, multiply or divide, and this one shows the result as a simplified fraction, a mixed number and a decimal, with every step of the working.
It also simplifies a single fraction, turns a decimal into a fraction (repeating decimals included) and turns a fraction into an exact decimal. The arithmetic uses whole numbers of any length, so a fraction with 20-digit parts is added exactly instead of being rounded. For rounding a decimal answer to a set precision, the significant figures calculator picks up where this one ends.
| Problem | Fraction | Mixed | Decimal |
|---|---|---|---|
| 1/2 + 1/3 | 5/6 | – | 0.83 |
| 3/4 − 1/6 | 7/12 | – | 0.583 |
| 2/3 × 3/4 | 1/2 | – | 0.5 |
| 3/4 ÷ 2/5 | 15/8 | 1 7/8 | 1.875 |
| 2 1/2 + 1 3/4 | 17/4 | 4 1/4 | 4.25 |
| −2 3/4 + 3 5/7 | 27/28 | – | 0.96428571 |
| Simplify 2 21/98 | 31/14 | 2 3/14 | 2.2142857 |
| 1.375 as a fraction | 11/8 | 1 3/8 | 1.375 |
The answer updates as you type. There is no Calculate button to press.
Basic fractions, mixed numbers, simplify, decimal to fraction or fraction to decimal. Each tab opens with a worked example already filled in.
Top box for the numerator, bottom box for the denominator, and a whole-number box for mixed numbers. Tap the ± button to make a number negative.
Pick +, −, × or ÷ between the numbers. Add a fraction to work with up to six numbers; multiplication and division go first.
See the fraction, mixed number, decimal and percent, open the numbered steps, copy the answer, or copy a link that reopens the same sum.
Every result the calculator gives follows one of these rules, and the steps panel shows which one it used.
| Task | Rule | Example |
|---|---|---|
| Add | Rewrite both fractions over the least common denominator (LCD), then add the numerators | 2/7 + 3/8 = 16/56 + 21/56 = 37/56 |
| Subtract | Same as adding, but subtract the second numerator | 3/4 − 1/6 = 9/12 − 2/12 = 7/12 |
| Multiply | Multiply the numerators, multiply the denominators, simplify | 2/3 × 3/4 = 6/12 = 1/2 |
| Divide | Multiply by the reciprocal (flip the second fraction) | 3/4 ÷ 2/5 = 3/4 × 5/2 = 15/8 |
| Simplify | Divide the top and bottom by their greatest common divisor (GCD) | 217/98 = 31/14 (GCD 7) |
| Mixed to improper | Whole × denominator + numerator, over the denominator | 3 5/7 = (3 × 7 + 5)/7 = 26/7 |
| Decimal to fraction | Put the digits over a power of 10, then simplify | 1.375 = 1375/1000 = 11/8 |
| Fraction to decimal | Divide the numerator by the denominator | 2/7 = 0.285714 |
Common fractions in lowest terms, from halves to sixteenths. A line over digits means they repeat forever. Sixteenths are the marks on an imperial tape measure.
| Fraction | Decimal | Percent |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.3 | 33.3% |
| 2/3 | 0.6 | 66.6% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% |
| 2/5 | 0.4 | 40% |
| 3/5 | 0.6 | 60% |
| 4/5 | 0.8 | 80% |
| 1/6 | 0.16 | 16.6% |
| 5/6 | 0.83 | 83.3% |
| 1/8 | 0.125 | 12.5% |
| 3/8 | 0.375 | 37.5% |
| 5/8 | 0.625 | 62.5% |
| 7/8 | 0.875 | 87.5% |
| 1/10 | 0.1 | 10% |
| 3/10 | 0.3 | 30% |
| 7/10 | 0.7 | 70% |
| 9/10 | 0.9 | 90% |
| 1/12 | 0.083 | 8.3% |
| 5/12 | 0.416 | 41.6% |
| 7/12 | 0.583 | 58.3% |
| 11/12 | 0.916 | 91.6% |
| 1/16 | 0.0625 | 6.25% |
| 3/16 | 0.1875 | 18.75% |
| 5/16 | 0.3125 | 31.25% |
| 7/16 | 0.4375 | 43.75% |
| 9/16 | 0.5625 | 56.25% |
| 11/16 | 0.6875 | 68.75% |
| 13/16 | 0.8125 | 81.25% |
| 15/16 | 0.9375 | 93.75% |
What we found when we tried the fraction calculators that rank for this search in November 2026.
| Feature | This calculator | Typical fraction calculators |
|---|---|---|
| Mixed numbers | Same tool, one tap away | Often a separate page |
| More than two fractions | Up to six, with the order of operations | Usually two |
| Very large numbers | Exact, up to 300 digits per box | Often a separate big-number tool |
| Steps for adding | Least common denominator | Often multiplies the denominators, giving bigger numbers to simplify |
| Simplifying | Shows the GCD and the Euclidean algorithm | Often just the answer |
| Repeating decimals | Both ways: 0.1(6) to 1/6, and 2/7 to 0.(285714) | Usually a rounded decimal only |
| Getting the answer | Instant as you type, plus a share link | Often a Calculate button and a page reload |
Compare your own working line by line with the numbered steps: the common denominator, the rewritten fractions and the simplification.
Multiply 3/4 cup by 1 1/2 for a bigger batch, or divide 2 2/3 cups by 2 to halve it, and read the answer as a mixed number.
Add lengths such as 5 3/8 and 2 7/16 inches, or turn a decimal reading like 0.4375 into 7/16 with Decimal to fraction.
A quarter of an hour is 1/4 and 40 minutes is 2/3 of an hour. For adding clock times directly, the online time calculator is quicker.
Work out what 3/8 of a bill is, or check that shares such as 1/3, 1/4 and 5/12 add up to exactly 1. To track the amounts, try the expense calculator.
Use the Example button for ready-made problems, then send the class a share link that opens the exact sum with its steps.
A few rules explain most surprises. If you want to keep a list of answers while you work, paste them into the online notepad.
−2 3/4 means −(2 + 3/4) = −11/4, not −2 + 3/4. The sign button works the same way.
Multiplying the denominators always works, but the least common denominator gives smaller numbers and less to simplify.
In lowest terms, 3/8 ends (0.375) because 8 = 2 × 2 × 2, while 1/6 repeats because 6 has the factor 3.
A decimal that ends or repeats is always a rational number, so 0.1666… is exactly 1/6.
Dividing by 2/5 is the same as multiplying by 5/2. Dividing by zero has no answer, and the calculator says so.
A complex fraction such as 0.75/1.5 is cleared to whole numbers first and simplifies to 1/2.
It works with numbers, not letters, brackets or exponents. For the rules behind the methods, see Fraction on Wikipedia.
Exact answers stay as fractions. Decimals that go on forever are rounded to 14 significant digits (or the places you pick) and marked with ≈, next to the exact repeating form.
Each box takes up to 300 characters and a sum has up to six numbers. Repeating blocks longer than 5,000 digits are cut off and marked. Background: repeating decimals.
The rules and definitions on this page were checked against these references. More number tools are listed on the free online calculators page.
Short answers to what people ask most.
Find the least common denominator, rewrite each fraction over it, then add the numerators and keep the denominator. For 2/7 + 3/8 the LCD is 56, so 16/56 + 21/56 = 37/56.
Divide the numerator and the denominator by their greatest common divisor. The GCD of 217 and 98 is 7, so 217/98 simplifies to 31/14, which is 2 3/14 as a mixed number.
Write the digits over 10, 100, 1000 and so on, one zero for each decimal place, then simplify. For example 1.375 = 1375/1000 = 11/8, or 1 3/8.
Choose Decimal to fraction and type the repeating digits in the second box. For 0.1666… type 0.1 and 6 and the calculator shows 1/6, with the shift-and-subtract working.
Divide the numerator by the denominator. 2/7 gives 0.285714 with the block 285714 repeating forever, which rounds to 0.28571428571429 at 14 significant digits.
To multiply, multiply the numerators together and the denominators together, then simplify. To divide, flip the second fraction and multiply, so 1/2 divided by 3/4 is 1/2 x 4/3 = 2/3.
Choose Mixed numbers and type the whole part, numerator and denominator in their own boxes. Tap the ± button to make a number negative; the minus applies to the whole mixed number, so -2 3/4 means -11/4.
A fraction in lowest terms has a terminating decimal only when its denominator has no prime factors other than 2 and 5. Any other factor, such as 3 or 7, makes the digits repeat.
Yes. Use Add a fraction to include up to six numbers. Multiplication and division are done before addition and subtraction, and each step is shown separately.
Each box takes up to 300 digits, and the calculator uses exact whole-number arithmetic, so a sum such as 1234/748892928829 + 33434421132232234333/8877277388288288288 is not rounded.
No. Everything is worked out in your browser. The Share link button puts your numbers in the page address so you can send them, and nothing is stored on a server.