Improper Fractions to Mixed Numbers ConversionConverting improper fractions to mixed numbersHere, you can convert an improper fraction into mixed numbers. Enter the fraction numerator and denominator in the spaces above and press "To Mixed Numbers". You may enter values between -2147483648 and 2147483647. Show
What is an improper fractionA fraction is improper when its numerator is greater than its denominator. When a fraction is 'improper' it can be expressed as a whole number plus a proper fraction. A proper fraction is a fraction that has a numerator smaller than its denominator, a fraction that has a value less than 1. The mixed numbers form shows the whole portion followed by the proper fraction. For example, 1.25 can be expressed as 5/4, or 1 and 1/4. 5/4 is an improper fraction, 1 1/4 is its mixed numbers representation. How to convert a fraction to mixed numbersThe fraction is first reduced to its lowest terms (see simplify fractions for more information). If the fraction's numerator is greater than the denominator (an improper fraction), then the whole portion is obtained by dividing the numerator by the denominator. The numerator of the proper fraction is the remainder of the division. The denominator is the same as the denominator of the original fraction. Video transcriptWrite 7/4 as a mixed number. So right now it's an improper fraction. 7 is larger than 4. Let's write it is a mixed number. So first I'm just going to show you a fairly straightforward way of doing it and then we're going to think a little bit about what it actually means. So to figure out what 7/4 represents as a mixed number, let me write it in different colors. So this is going to be equal to-- the easiest way I do it is you say, well, you divide 4 it 7. If we're dealing with fourths, 4 goes into 7 a total of one time. Let me do this in another color. 1 times 4 is 4. And then what is our remainder? 7 minus 4 is 3. So if we wanted to write this in plain-- well, let me just do the problem, and then we'll think about what it means in a second. So you see that 4 goes into 7 one time, so you have one whole here, and then how much do you have left over? Well, you have 3 left over, and that comes from right over there. That is the remainder when you divide 4 into 7. 3 left over, but it's 3 of your 4, or 3/4 left over. So that's the way we just converted it from an improper fraction to a mixed number. Now, it might seem a little bit like voodoo what I just did. I divided 4 into 7, it goes one time, and then the remainder is 3, so I got 1 and 3/4. But why does that make sense? Why does that actually makes sense? So let's draw fourths. Let's draw literally 7 fourths and maybe it'll become clear. So let's do a little square as a fourth. So let's say I have a square like that, and that is 1/4. Now, let's think about what seven of those mean, so let me copy and paste that. Copy and then paste it. So here I have 2 one-fourths, or you could see I have 2/4. Now I have 3 one-fourths. Now, I have 4 one-fourths. Now this is a whole, right? I have 4 one-fourths. This is a whole. So let me start on another whole. So now I have 5. Now I have 6 one-fourths, and now I have 7 one-fourths. Now, what does this look like? So all I did is I rewrote 7/4, or 7 one-fourths. I just kind of drew it for you. Now, what does this represent? Well, I have 4 fourths here, so this is 4/4. This right here is 3/4. Notice, 7/4 is 4/4 with 3/4 left over. So let me write it this way. 7/4 is 4/4 with 3/4 left over. Now what is 4/4? 4/4 is one whole. So you have one whole with 3/4 left over, so you end up with 1 and 3/4. So that is the 3/4 part and that is your one whole. Hopefully that makes sense and hopefully you understand why it connects. Because you say, well, how many wholes do you have? When you're dividing the 4 into the 7 and getting the one, you're essentially saying how many wholes? So the number of wholes, or you can imagine, the number of whole pies. And then how many pieces do we have left over? Well, we have 3 pieces and each piece is 1/4, so we have 3/4 left over. So we have one whole pie and three pieces, which are each a fourth left over. Download Article Download Article In math, improper fractions are fractions where the numerator (the top half) is a number that is bigger than or equal to the denominator (the bottom half). To convert an improper fraction to a mixed number (which is made from a fraction and a whole number, like 2 & 3/4), divide the numerator by the denominator. Write the whole number answer next to a fraction with the remainder in the numerator and the original denominator — you now have a mixed fraction!
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Thanks for submitting a tip for review! Advertisement ReferencesAbout This ArticleArticle SummaryX To convert an improper fraction into a mixed number, start by writing the fraction as a division problem. Divide the numerator by the denominator. For instance, if the improper fraction is 7/5, write it out as 7 ÷ 5. Next, write out the whole number part of the answer. In our example, 5 divides into 7 one time, so the whole number is 1. This leaves us with a remainder of 2. The remainder will become the new numerator in the fraction, while the denominator remains the same. So, in the example of 7/5, you would get 7 ÷ 5 = 1 remainder 2. To express this as a fraction, write it as 1 and 2/5ths. If you want to turn it back into an improper fraction, multiply the whole number by the denominator and add the product to the numerator. The sum will become the new numerator in your improper fraction, while the denominator will remain the same. If you want to learn how to check your answer to make sure your mixed number is right, keep reading! Did this summary help you? Thanks to all authors for creating a page that has been read 150,961 times. Did this article help you?How do you convert from improper to mixed number?In order to convert an improper fraction to a mixed number, we need to divide the numerator by the denominator. After the division, the mixed number is formed in such a way that the quotient that is obtained becomes the whole number, the remainder becomes the new numerator and the denominator remains the same.
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