Fraction Calculator

Fractions represent parts of a whole and are one of the most fundamental concepts in mathematics. Adding and subtracting fractions requires a common denominator, which is found by computing the least common multiple (LCM) of both denominators. Once the denominators match, you simply add or subtract the numerators and keep the denominator the same. For example, to add 1/4 and 1/6, you convert them to 3/12 and 2/12, then add the numerators to get 5/12.

Multiplying fractions is more straightforward: multiply the numerators together and the denominators together, then simplify the result by dividing both by their greatest common divisor (GCD). Dividing fractions uses the "flip and multiply" method, where you invert the second fraction (swap its numerator and denominator) and then multiply normally. For instance, 2/3 divided by 4/5 becomes 2/3 times 5/4, which equals 10/12, simplified to 5/6.

Simplifying fractions to their lowest terms makes them easier to understand and work with. To simplify, find the GCD of the numerator and denominator and divide both by that number. An improper fraction, where the numerator is larger than the denominator, can be converted to a mixed number by dividing the numerator by the denominator to get the whole number part and using the remainder as the new numerator. This calculator handles all four operations, automatically simplifies results, and shows every step so you can follow along and learn the process.