Mixed Numbers and Improper Fractions
A mixed number has a whole number and a fraction, like 2¾. An improper fraction has a numerator bigger than its denominator, like 11/4.
What You Need to Know
Key Concept Diagram
A mixed number combines a whole number and a proper fraction
An improper fraction has a numerator ≥ denominator, like 7/3
To convert: 7/3 = 2 remainder 1 = 2⅓
To convert back: 2⅓ = (2×3+1)/3 = 7/3
Key Vocabulary
Mixed number
A number with both a whole number and a fraction, e.g. 3½
Improper fraction
A fraction where the numerator is greater than or equal to the denominator
Convert
Change from one form to another while keeping the same value
Numerator
The top number in a fraction
Knowledge Check
Select the correct answer for each question. Click "Check Answer" to see if you are right.
Question 1
Convert 9/4 to a mixed number.
Question 2
Convert 3½ to an improper fraction.
Question 3
Which is greater: 7/3 or 2⅓?
Key Concepts Summary
- ●A mixed number combines a whole number and a proper fraction
- ●An improper fraction has a numerator ≥ denominator, like 7/3
- ●To convert: 7/3 = 2 remainder 1 = 2⅓
- ●To convert back: 2⅓ = (2×3+1)/3 = 7/3