Simplify Fractions Calculator

Simplifying a fraction means rewriting it in the cleanest possible form without changing its value, and this calculator does it instantly for any fraction you enter. Type in the numerator and the denominator and it returns the fraction reduced to its lowest terms, the form where the top and bottom share no common factor other than one, which is exactly how a teacher, textbook or exam marker wants to see an answer. Alongside the reduced fraction it also shows the decimal value and, where the fraction is top heavy, the equivalent mixed number, so you get every useful form of the same quantity in one place. This is one of those small tools that saves time and prevents mistakes across all sorts of work. A student can check homework or learn the method, a cook can tidy up a scaled recipe, a builder or sewer can reduce an awkward measurement, and anyone comparing fractions can put them in simplest form to see at a glance which is bigger. The calculator works by finding the greatest common divisor of the two numbers and dividing both by it, which guarantees the result is fully reduced in a single step rather than needing several rounds of cancelling. It handles large numbers, negative fractions and improper fractions, and updates the moment you change a value so you can explore equivalent fractions and build your number sense. Below you will find a plain-English explanation of the greatest common divisor method and a worked example, so the calculator is not just a quick answer but a way to understand and master simplifying fractions for yourself.

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simplest form
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How it works

The calculator finds the greatest common divisor of the numerator and denominator, the biggest whole number that divides evenly into both. It divides the top and the bottom by that number, which reduces the fraction to its lowest terms in one move. For the decimal it divides the numerator by the denominator, and for the mixed number it splits the top heavy fraction into a whole part and a remainder.

Worked example

Take 12 over 18. The greatest common divisor of 12 and 18 is 6. Dividing both by 6 gives 2 over 3, which is the simplest form. As a decimal that is about 0.667. A fraction like 7 over 2 is not top heavy enough to share a factor, so it stays 7 over 2, which as a mixed number is 3 and 1 over 2.

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