Mixed Numbers and Improper Fractions
Free printable worksheets converting improper fractions to mixed numbers, with an answer key. Every fraction is greater than one.
Each problem gives an improper fraction - top heavier than the bottom - and the student rewrites it as a whole number and a proper fraction. 7/4 becomes 1 3/4; 11/3 becomes 3 2/3.
Divide the numerator by the denominator: the quotient is the whole number, the remainder is the new numerator, and the denominator stays the same. Every fraction on this page is greater than one, so there is always a whole part to pull out.
What this worksheet covers
- Rewrite an improper fraction as a mixed number
- Divide the numerator by the denominator and keep the remainder as the fraction
Common Core standards
- 4.NF.B.3b Decompose a fraction into a sum of fractions with the same denominator, such as a whole number and a fraction.
Frequently asked questions
What is an improper fraction?
One where the numerator is bigger than the denominator, like 9/4. It is a perfectly valid fraction - it just has a whole number hidden inside it.
How do you convert it to a mixed number?
Divide the top by the bottom. 9 / 4 is 2 remainder 1, so 9/4 is 2 1/4.
Do any problems go the other way?
Not on this page - it is improper to mixed throughout. Converting a mixed number to an improper fraction is the reverse skill and is a good follow-up.
What grade is this?
Fourth and fifth grade, once dividing with remainders is solid.