A mixed number shows a whole number and a fraction together. An improper fraction has a numerator that is greater than or equal to its denominator.
Mixed numbers show parts of a whole beyond one. Improper fractions represent the same amount but written as a single fraction.
To change a mixed number into an improper fraction, multiply the whole number by the denominator, add the numerator, and keep the same denominator.
Always keep the denominator the same. Only the numerator changes when converting.
To convert an improper fraction into a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder becomes the new numerator.
The remainder always becomes the numerator of the fraction part. The denominator stays the same.
Mixed numbers and improper fractions show the same value in different ways. You can move between the two forms by using multiplication, addition, or division.
Both forms represent the same amount. You can choose the form that fits best for solving a problem or explaining your reasoning.
After converting, check your answer by reversing the process. Converting back and getting the same value shows your answer is correct.
If you can convert both ways and return to the same number, your understanding is strong and your math is correct.