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Fractions add and subtract through a common denominator and simplify by dividing top and bottom by their greatest common divisor. Example check: 1/2 + 1/3 = 3/6 + 2/6 = 5/6 (0.8333), and 3/4 × 2/3 = 6/12 = 1/2. A denominator of zero is not allowed, and dividing by a fraction equal to zero is refused.
Try an example: 1/2 + 1/3 = 5/6
The Fraction Calculator is a free online tool that adds, subtracts, multiplies and divides fractions in seconds, showing you a simplified answer and its decimal value every time. Whether you are helping with school homework, scaling a recipe, measuring timber for a do-it-yourself project or checking a share of a bill, this calculator takes the fiddly arithmetic out of fractions and gives you an answer you can trust. You type in two fractions, choose the operation, and the tool does the rest, including reducing the result to its lowest terms so you never have to wonder whether 6/12 should really be written as 1/2. Everything runs in your browser, so your numbers stay on your device and the result appears instantly with no sign-up, no download and no waiting.
Fractions describe a part of a whole, and the top number, the numerator, tells you how many parts you have, while the bottom number, the denominator, tells you how many equal parts the whole is split into. Adding and subtracting fractions is only straightforward once both fractions share the same denominator, which is why the calculator first finds a common denominator for you. Take a worked example you can check by hand: 1/2 + 1/3. The calculator rewrites these as 3/6 + 2/6, because 1/2 equals 3/6 and 1/3 equals 2/6, and then adds the numerators to give 5/6, which is 0.8333 as a decimal. That is the whole method in one line, and seeing the steps laid out like this makes it much easier to follow the same method on paper next time.
Multiplication works differently, and it is often the easiest operation of all. To multiply two fractions you multiply the numerators together and multiply the denominators together, then simplify the result. The worked example in this tool shows it clearly: 3/4 x 2/3 = 6/12 = 1/2. Six twelfths looks messy, but dividing the top and bottom by their greatest common divisor, 6, reduces it neatly to one half. Division is the mirror image of multiplication: you flip the second fraction upside down, turning it into its reciprocal, and then multiply as normal. So 1/2 divided by 1/4 becomes 1/2 x 4/1, which equals 2. The calculator shows each of these steps so you can see exactly how the answer was reached rather than being handed a bare number.
Mixed numbers, such as 1 1/2 or 2 3/4, are fully supported. A mixed number is a whole number plus a fraction, and the calculator converts it into an improper fraction before doing the arithmetic, then converts the answer back into a mixed number where that is the clearest way to read it. This matters in real life because recipes, tape measures and building plans almost always use mixed numbers. If a recipe calls for 1 1/2 cups of flour and you want to make one and a half times the recipe, you need 1 1/2 x 1 1/2, and guessing the answer is a good way to ruin a cake. The calculator handles the conversion and the multiplication for you and gives you a clean, simplified result you can use straight away.
Simplifying, or reducing, a fraction is one of the most useful things this tool does. A fraction is in its simplest form when the numerator and denominator share no common divisor other than 1, and the calculator finds that form by dividing both numbers by their greatest common divisor. For example, 8/12 simplifies to 2/3 because both numbers divide by 4, and 15/25 simplifies to 3/5 because both divide by 5. A simplified answer is easier to read, easier to compare with other fractions and far less likely to cause a mistake in the next step of a longer calculation. Every result on this page is simplified automatically, so you never need to do that final tidy-up yourself.
Every answer also comes with its decimal equivalent, which bridges the gap between fractions and the decimal numbers used by calculators, spreadsheets and measuring tools. The fraction 5/6 is 0.8333, 1/2 is 0.5, 3/4 is 0.75 and 1/3 is 0.3333, and the tool rounds long repeating decimals to a sensible number of places so the value stays readable. This is handy when you need to enter a fraction result into a spreadsheet, compare it with a decimal measurement, or check it against a price or a percentage. If you want to turn a result into a percentage as well, try our percentage calculator next, and for converting between measurement units, our unit converter handles the rest.
The calculator also protects you from the one mistake that breaks fraction arithmetic completely: a zero denominator. A fraction with zero on the bottom, such as 3/0, has no meaning in mathematics because you cannot split a whole into zero equal parts, so the tool shows a clear warning instead of inventing an answer. The same care applies to empty or mistyped inputs. If a field is missing a number or contains a letter where a number belongs, you will see a plain message telling you what to fix, rather than a confusing result. This honest approach is deliberate: a calculator that quietly guesses is worse than no calculator at all, especially when the answer feeds into homework, a budget or a building measurement.
Fractions show up far more often in daily life than most people expect. In the kitchen, halving or doubling a recipe is fraction arithmetic. In the workshop, cutting a board into thirds or adding two lengths measured in fractions of an inch is the same skill. At school, fractions are the foundation for algebra, ratios and percentages, and a student who can see the working, not just the answer, learns faster. In finance, a share of a bill, a discount of one quarter off, or a one-third deposit all involve fractions. Having a free tool that shows the method as well as the answer turns a chore into a quick check and helps you build confidence with numbers over time.
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Using the Fraction Calculator is simple. Enter the first fraction by typing its numerator and denominator, pick add, subtract, multiply or divide, then enter the second fraction in the same way. If you have a mixed number, enter the whole part as well and the tool will convert it for you. Press calculate and you will see the simplified fraction, its mixed-number form where relevant, and the decimal value, together with the steps the tool followed. Try the worked examples first, 1/2 + 1/3 = 5/6 and 3/4 x 2/3 = 1/2, to see the method in action, then enter your own numbers. Change any value and recalculate as often as you like; the tool is free and unlimited.
The Fraction Calculator is free to use as often as you need, with no account, no app to install and no limit on calculations. It works on phones, tablets and desktop computers, so you can check a fraction at the kitchen counter, in the classroom or on the building site. Because the maths runs entirely in your browser, it works fast and keeps your numbers private. Bookmark this page for the next time a fraction slows you down, share it with a student or colleague who needs a hand with fractions, and let the calculator do the arithmetic while you focus on the task in front of you. Accurate fractions, clear steps and a simplified answer, every time, for free.
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