How are improper fractions and mixed numbers alike and different?

Both are more than 1 whole. Like if i have 2 whole pies and one half pie i can say 2 1/2 or 3/2 because 2/2 is also 1 and if i have a extra 1/2 it will be 3/2 but they are different because mixed numbers are more simplified

Think of improper fractions as top heavy. If the numerator is lager than the denominator, then you have an improper fraction. Ex: 12/6 = 2 because 6 goes into 12, two times. Mixed numbers can turn into improper fractions. Ex: 7 2/3 = 23/3 which divides back down to 7 2/3. To create improper fractions from mixed number you multiply the denominator by the whole number and add the numerator to the product of the whole number and denominator. (3*7=21+2=23) and you just keep the same denominator to then divide. 23/3 = 7 2/3