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some mixed fractions look at the number four one by three yes its just one number we have seen numbers like four its a whole number one by 3 is a proper fraction a proper fraction is a fraction in which the numerator is less than the denominator this mixed fraction is simple to understand its the sum of these two parts the whole part and the fractional part lets write the whole part a bit differently 4 can also be written as 12 by 3 because 3 times 4 is 12 and we write 1 by 3 as is when two fractions having the same denominator are added we can simply add the numerators over the common denominator lets zoom out slightly this can be written as twelve plus one by three add the numerators over the denominator and it becomes thirteen by three so this mixed fraction can also be written as an improper fraction four 1 by 3 is the same as 13 by 3 but lets look at a very logical way of understanding mixed fractions we are looking at the mixed fraction for 1 by 3. we represent this 4 with