Mixed numbers, like 2 and 3 over 4, are everywhere in everyday life, from recipes and timber lengths to time and measurements, yet calculating with them by hand is fiddly and easy to get wrong. This calculator takes the pain out of it. Enter two mixed numbers, choose whether to add, subtract, multiply or divide them, and it returns the answer fully worked out and simplified. It does not just give a decimal; it gives the proper mathematical answer as a reduced mixed number, the matching improper fraction, and the decimal value, so you have whichever form suits your task. Behind the scenes it converts each mixed number into an improper fraction, finds a common denominator where one is needed, performs the operation, and then reduces the result to its lowest terms before converting it back, which is exactly the method taught in school but done instantly and without slips. You can leave the whole-number box empty to work with plain fractions, so the tool doubles as a full fraction calculator as well. That makes it useful for a wide range of people: a student learning or checking fraction arithmetic, a home cook doubling or halving a recipe, a builder or dressmaker combining measurements, or anyone who needs a dependable answer fast. Everything recalculates the moment you change a number or the operation, so you can explore how the parts interact and build confidence with fractions rather than fearing them. The explanation and worked example below set out the steps clearly, so you can follow the method yourself and understand why the answer comes out the way it does.
Each mixed number becomes an improper fraction by multiplying the whole number by the denominator and adding the numerator. The two fractions are then combined: addition and subtraction use a common denominator, multiplication multiplies straight across, and division multiplies by the reciprocal of the second fraction. The result is reduced by its greatest common divisor and converted back into a mixed number.
Add 2 and 3 over 4 to 1 and 1 over 2. As improper fractions that is 11 over 4 plus 3 over 2. A common denominator of 4 gives 11 over 4 plus 6 over 4, which is 17 over 4. That simplifies to the mixed number 4 and 1 over 4, or 4.25 as a decimal.
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