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so welcome to my video on changing an improper fraction into a mixed number so here we have the improper fraction 9 over 4 its improper because we have a numerator of 9 which is bigger than our denominator and we want to change it into a mixed number and this is done through long division so what Im going to do is since 9 is being divided by 4 Im going to use long division and divide 9 by 4 so now I have to see how many times 4 goes into 9 we know 4 goes into 9 at least 2 times and if you multiply 2 times 4 2 times 4 is 8 and if we subtract 9 minus 8 we get a remainder of 1 so since 4 goes into 9 2 times our mixed number is going to have a whole number of two and since we have a 1 left over and our remainder our mixed number is going to have a 1 in the numerator and our denominator always stays the same since we have a 4 denominator in our fraction or could also have a 4 denominator in our mixed number so 9 over 4 is equal to 2 and 1/4 and I want to show you an illustration so this