So in our pizza example, if the whole pizza is cut into eight equal slices, and you eat three slices, you would have eaten three out of the eight parts of the whole. Don’t worry! We’ll make it easy! Real-World Uses for the Fraction CalculatorĪ fraction is a way to represent in mathematical terms a smaller part of a whole of something. We deal with partial amounts every day, so these ideas are familiar even if the way we have to work with them in math at first seems a little intimidating. All of these represent a portion of a whole, and that’s exactly what a fraction is. A half cup of sugar in a recipe or six tenths of amile or a quarter dollar. But the world is full of partial amounts of things. When we learn the basic math operations, we start by dealing with the operations on integers. This fraction calculator is a useful tool, but it’s not a substitute for a powerful mathematical mind! There is no substitute for developing a solid set of concepts, and this lesson provides an interesting introduction to fractions if you are looking for another approach. It will return to the fraction calculator and show the problem exactly as you see it.ĭon’t just use this fraction calculator to race through your homework! Solve the problems on your own, and use the calculator to check your work or see how to work a problem you don’t understand. If you wish to save the fraction calculator showing the problem you're working on, the “Share this Calculation” link can be copied and pasted into an email, your browser bookmarks or a web page. ![]() A visualization of the operand fractions and the answer fraction is shown in the panel underneath where the values are entered.Ĭomplete steps for solving each type of fraction operation will be listed in a version of the fraction calculator coming soon! This part of the fraction calculator is designed to illustrate not just the answers, but provide a learning tool so you can see how the problems were solved. Enter the values directly into the corresponding locations in the fraction calculator and the answer will be updated in real time. The values for the calculation can be simple or mixed fractions, or consist of only wholes. Note that our conversion error for 0.8 is not that bad compared to the maximum possible error.This page hosts a fraction calculator that can perform addition, subtraction multiplication or division of two fractions. And maximum possible conversion error, in that case, is one-half of it, or 0.0078125. The value of the rightmost digit is called resolution or precision and defines the smallest possible nonzero number, which can be written using this number of digits. And this is our error during conversion decimal 0.8 to binary with 6 digits after the point. But it is not decimal 0.8 in fact, but it is decimal 0.796875 the difference is that it is 0.003125. ![]() For example, let's convert decimal 0.8 to binary and use 6 digits after the point. The error depends on the number of digits after the point which we decide to use. That's why the conversion of fractional numbers often gives us conversion error. In fact, it is a periodic number with period 1100, so we won't find the exact number of binary digits to write 0.8 precisely. We can go on, but even now, we can see that decimal 0.8 is binary 0.11001100.(and many digits). But for the binary numeral system, we have problems. Take a look at decimal number 0.8Įverything is easy for the decimal numeral system. Since we have fractions and denominators that are different, we can't always keep the same precision with varying numerals systems.Īgain, let me show it with an example. Wasn't that easy?īut, there is one caveat. Let's take, for example, infamous binary system, and fractional binary number 110.001. ![]() You can write it like this:Įasy to follow, isn't it? But it is the same thing for any other positional numeral system. All we need to remember is that we deal with the positional numeral system. So, I used to think that converting fractional numbers is difficult, but it turns out to be relatively easy to understand.
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