These are the general steps to follow when adding or subtracting fractions: So, in the example above where you've got 3 and 9 as the denominators of your fractions, you would ideally want to use 9 as your common multiple because it is the "least common multiple," or LCM, for 3 and 9. However, it's always a good idea to try to get the smallest common multiple (also called the least common multiple, or LCM) for your denominator because this will often (although not always) eliminate the need to reduce the fraction later on (see the section below called "How to Reduce Fractions"). It doesn't matter which common multiple you get for the denominator the of your fractions, they will all work for adding or subtracting. For example, if we suppose the denominators of your fractions are 3 and 9 then, depending on what you choose to multiply your fractions by, you could end up with any of the following common multiples on the denominator of your fractions: Note that when you multiply one or both of your fractions by some number over itself to make the denominators the same, the number you arrive at that's the same for both denominators is called their "common multiple." Any two numbers will always have lots of common multiples. So, if we are trying to add or subtract two fractions that have different denominators, the approach shown in the example above allows you to change the denominator of one or both of your fractions to whatever you want without changing the overall value of your fraction(s). Okay, but why would you want to do this? Well, it's a necessary tool when you are adding or subtracting fractions because you can't add or subtract fractions until they have the same denominators. The result is 2 / 4, and yet we all know that 2 / 4 is also "one half," which demonstrates that the overall value of the fraction didn't change, it's now just represented by a different set of numbers. In this example, we multiply 1 / 2, which we all know is "one half," by 2 / 2. their sizes relative to one another) stays the same because both the numerator and denominator are being multiplied by the same amount, meaning the overall value of the fraction hasn't changed.Ĭonsider the following example: 1 2 = 1 2 x 2 2 = 2 4 Another way of looking at it is to note that although the numerator and denominator of your fraction might change, their ratio (i.e. So if you multiply a fraction by 3 / 3, or 5 / 5, or 9845 / 9845, then you are actually just multiplying it by 1, and anything multiplied by 1 is equal to itself, so you haven't really changed the value of the fraction. Why is it okay to do this? Because any number over top of itself (i.e. So, for example, you can at any time multiply a fraction by something like 3 / 3, or 5 / 5, or 9845 / 9845. At any time you can change the numbers on the numerator and denominator of a fraction by multiplying it by another fraction that you have completely made up, the only rule being that the fraction you have completely made up must have the same number on both the numerator and denominator. Accessed 27 June, 2022.įractions Calculator: Add, Subtract, Multiply, Divide, Simplify Fractions. "Fractions Calculator: Add, Subtract, Multiply, Divide, Simplify Fractions". We've tried to build this calculator to be as simple and easy-to-use as possible, but if you do have any problems or get any errors, please get in touch and we can get them fixed up right away.įractions Calculator: Add, Subtract, Multiply, Divide, Simplify Fractions
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ADDING IMPROPER FRACTIONS CALCULATOR HOW TO
If you get stuck on a problem, by all means use the calculator to help, but make sure you also go back and learn how to work out the calculation yourself next time so you're improving each time. Make sure you don't use it to cheat on your tests but instead use it to make sure your answers are correct. We built the fractions calculators above to be a helpful educational tool. Students will often use this tool to check whether the answer they got is correct. If you want to help your kids with a bit of extra fractions help, you need to know the answer too! Teachers can use this calculator to come up with problems to test their students This is very useful for lots of different users: We built this tool to help you quickly perform all kinds of fraction calculations and get the answer. It really is as simple as typing the numbers you want to calculate into each of the boxes and then clicking "Calculator".
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This is a pretty straightforward fractions calculator, and you should be able to figure out how to add, subtract, multiply, and divide fractions, integers and mixed fractions without much trouble.