This document discusses different types of fractions: - Proper fractions have a numerator less than the denominator (e.g. 1/4). - Improper fractions have a numerator greater than or equal to the denominator (e.g. 5/3). - Mixed numbers are a combination of a whole number and a proper fraction (e.g. 2 1/4). The document provides examples of converting between improper fractions and mixed numbers by dividing the numerator by the denominator to get the whole number part and remainder.

1. Mathematics
FRACTIONS
Standard 3
Objectives
Proper; Improper & Mixed Number

2. Proper Fractions
• Fractions that are greater than 0 but less
than 1 are called proper fractions.
• In proper fractions, the numerator is less
than the denominator.
• Examples:

3. Improper Fractions
• Fractions that have a numerator that is
greater than or equal to the denominator, the
fraction is an improper fraction.
• An improper fraction is always 1 or greater
than 1. Examples:

4. Mixed Fractions
• A mixed number is a combination of a
whole number and a proper fraction.
• Examples:

5. Fractions Explained
Fractions can be broken down into a division
number sentence.

6. Fractions Explained
Fractions can be broken down into a division
number sentence.
= 3

7. Changing Improper Fractions
to Mixed Numbers
An improper fraction can also be written as a mixed number.
Below are three whole squares that are each divided into four
parts. A fourth square is there as well, but someone has cut one
part, remaining only three parts.

8. Changing Improper Fractions
to Mixed Numbers
You can use fractions to compare the number of parts you have to
the number of parts that make up a whole.
In this picture, the denominator is the total number of parts that
make up one whole square, which is 4.
• The total number of all parts of square, which is 15, represents
the numerator.
• The improper fraction is
• Each whole square has 4 equal parts and there are 15 parts in
total.

9. Changing Improper Fractions
to Mixed Numbers
As you looked at the image of the squares, however, you probably
noticed right away that there were 3 whole squares, with one
square with a part missing.
• While you can use the improper fraction to represent the
total amount of pizza, it is better to use a mixed number
instead.
• A fraction that includes both a whole number and a fractional
part.
• The mixed number is: .

10. Changing Improper Fractions
to Mixed Numbers
As you looked at the image of the squares, however, you probably
noticed right away that there were 3 whole squares, with one
square with a part missing.
• While you can use the improper fraction to represent the
total amount of pizza, it is better to use a mixed number
instead.
• A fraction that includes both a whole number and a fractional
part.
• The mixed number is: .

11. Improper Fractions
to Mixed Numbers
Here is an example of turning an improper fraction to a mixed
number.

12. Improper Fractions
to Mixed Numbers
Here is an example of turning an improper fraction to a mixed
number.

13. Improper Fractions
to Mixed Numbers
Here is an example of turning an improper fraction to a mixed
number.

14. Improper Fractions
to Mixed Numbers
After doing your division:
1. The quotient becomes the whole number.
2. The remainder becomes the numerator.
3. The denominator stays the same.

15. Complete the Following
For each one explain how did they got the answers below:

16. Changing Mixed Numbers
to Improper Fractions

17. Changing Mixed Numbers
to Improper Fractions

18. Changing Mixed Numbers
to Improper Fractions

19. Changing Mixed Numbers
to Improper Fractions

20. Complete the Following
For each one explain how did they got the answers below: