Introduction to Fractions

Types of Factions

Worksheet Objective:

To learn the different types of fractions.

This worksheet is one of many worksheets that covers fractions; when you complete this one, move on to the next. Be sure to do the Fractions Quiz at the end of all the worksheets.

PLEASE NOTE: This lesson includes links to websites outside of the MOLearns website. These math worksheets, tips, and resources are important components of the lesson, so be sure that you visit the links that are listed!


Types of Fractions

Proper fractions The top number (numerator) is less than the bottom number (denominator).
Examples: 1 3 7
3 10 19

Improper fractions The numerator is equal to or larger than the denominator.
Examples: 3 9 8
2 4 8

Mixed number A whole number is written next to a proper fraction.
Examples: 1 2 3 1 10 4
5 2 7

Let's practice
Identify the numerator and denominator in each of the following fractions:

      Numerator   Denominator
1. 3/4
2. 19/34
3. 8/3
4. 100/1
5. 15/903

Identify the following fractions as proper, improper, or mixed:

6. 5/4
7. 1 2/3
8. 25/34
9. 9/10
10. 2 1/2
11. 6/7
12. 99/2
13. 42/5
14. 6 17/24
15. 9 12/15

(back to top)


Fraction Websites
Here are some websites that might help explain what fractions are. Although they go into more detail than the different types of fractions (which we'll also do in later worksheets), they will help you a lot while you are learning fractions. You may want to bookmark them so you can refer to them later:

Building Basic Skills in Mathematics. (1988). Contemporary Books, NTC/Contemporary Publishing Group, Inc.: Lincolnwood, IL.

Howett, Jerry. (2000). Number Power 2: A Real World Approach to Math. Contemporary Books, NTC/Contemporary Publishing Group, Inc.: Lincolnwood, IL.

Lassiter, Karen. (1993). Math Matters for Adults: Fractions. Steck-Vaughn Company: Austin, TX.

McClanahan, Susan D.; Green, Judith Andrews. (1996). Building Strategies: Mathematics. Steck-Vaughn Company: Austin, TX.