1. Proper and Improper Fractions Lesson #21

2. Types of Fractions
Proper Fraction: numerator is smaller than denominator
Ex: 3 numerator = 3, denominator = 4 4
3 < 4
Improper Fraction: numerator is greater than denominator
Ex: 4 numerator = 4, denominator = 3 3
4 > 3

3. Mixed Fraction: a whole number and a proper fraction
Ex: 2 ¾ whole number = 2
numerator = 3
denominator = 4
3 < 4 so ¾ is a proper fraction

4. Changing improper to mixed numbers
Draw it! .
For example 1 3/4 = 7/4, shown here:                                                         
1 3/4
7/4 =

5. Procedure

6. Procedure

7. Changing improper to mixed fractions.

8. But, how do you convert a mixed number to an improper fraction?2
= ? 1 2

9. 2 groups of 2 with 1 remaining.5
(2 x 2)+1 = 5 = 2

10. 5
= ? 3 4 23
(5 x 4)+3 = 23 = 4

11. Changing mixed to improper fractions.
Whole number x denominator + numerator = new numerator
Keep same denominator
2 ¾ 2 8 7 8