1. Chapter 2
Fractions

2. Introduction to Fractions and Mixed Numbers
Section 2.2
Introduction to Fractions and Mixed Numbers

3. Fraction A fraction is a number written in the form
where a and b are whole numbers and b is not zero.

4. Proper Fraction and Improper Fraction
Proper fraction or a common fraction
A fraction in which the numerator is less than the denominator.
Improper fraction
A fraction in which the numerator is greater than or equal to the denominator. An improper fraction is always greater than or equal to 1.

5. Mixed Number and Complex Fraction
A number that combines a whole number with a fraction.
Complex Fraction
Is a quotient of the form
where A or B or both
are fractions and B is not zero.

6. Example
Classify each as a proper fraction, an improper fraction, or a mixed number.

7. Solution Strategy is an improper fraction. is a mixed number.
is a proper fraction.

8. Fraction - Represent Part of a Whole
A candy bar cut into 8 equal pieces. 3 pieces are
eaten (red). That represents

9. Fraction - Represent Part of a Whole
A pizza cut into 12 equal pieces. 7 pieces are
eaten (shaded). That represents

10. Example
Write a fraction or mixed number to represent the shaded portion of each figure.

11. Example
Write a fraction or mixed number to represent the shaded portion of each figure.

12. Solution Strategy
The fraction is
The fraction is

13. Solution Strategy
The fraction is

14. Improper Fraction to a Mixed Number

15. Example
Write each improper fraction as a mixed or whole number.

16. Solution Strategy
Write each improper fraction as a mixed or whole number.

17. Mixed Number to an Improper Fraction

18. Example
Write each mixed number as an improper fraction.

19. Solution Strategy
Write each mixed number as an improper fraction.

20. Example Apply your knowledge
An accounting office has 25 employees. Eight of the employees are certified public accountants and the rest are support staff.
What fraction of the total do accountants represent?
What fraction of the total do support staffers represent?

21. Solution Strategy
a. 8 represents the part of the total in which we are interested. 25 is the total so the fraction is
b. 25 – 8 = 17 represents the part of the total in which we are interested. 25 is the total so the fraction is