1. 4.1 – Fractions and Mixed Numbers
Defn: Numbers that show the number of parts existing compared to the number of parts in a whole.
Numerator (a): the top number of a fraction that describes the number of parts existing.
Denominator (b): the bottom number of the fraction that describes the number of parts that make a whole.

2. Write a fraction to represent the shaded portion of each figure.
4.1 – Fractions and Mixed Numbers
Write a fraction to represent the shaded portion of each figure.

3. Write a fraction to represent the shaded portion of each figure.
4.1 – Fractions and Mixed Numbers
Write a fraction to represent the shaded portion of each figure.

4. Draw and shade each fraction.
4.1 – Fractions and Mixed Numbers
Draw and shade each fraction.

5. 4.1 – Fractions and Mixed Numbers
Proper Fractions
Defn: A fraction whose numerator is smaller than its denominator.
Improper Fractions
Defn: A fraction whose numerator is larger than its denominator.
Mixed Numbers
Defn: A number which is made up of an integer and a fraction.

6. 4.1 – Fractions and Mixed Numbers
Classify each of the following fractions:
proper
improper
improper
mixed number
proper
mixed number

7. 4.1 – Fractions and Mixed Numbers
Converting Mixed Numbers to Improper Fractions
1. Multiply the denominator by the integer.
2. Add the numerator to the product of the denominator and the integer.
3. Write the sum as the numerator over the original denominator.

8. 4.1 – Fractions and Mixed Numbers
Converting Mixed Numbers to Improper Fractions

9. 4.1 – Fractions and Mixed Numbers
Converting Improper Fractions to Mixed Numbers
1. Divide the numerator by the denominator.
2. The quotient is the integer of the mixed number.
3. The remainder is the numerator over the original denominator.

10. 4.1 – Fractions and Mixed Numbers
Converting Improper Fractions to Mixed Numbers

11. 4.2 – Factors and Simplest Form
Divisibility Tests
1. A whole number is divisible by 2 if the number is even.
2. A whole number is divisible by 3 if the sum of the digits is divisible by 3.
(is divisible by 3)
(is divisible by 3)
3. A whole number is divisible by 4 if the last 2 digits are divisible by 4.
(36 is divisible by 4)
(28 is divisible by 4)

12. 4.2 – Factors and Simplest Form
Divisibility Tests
4. A whole number is divisible by 5 if the number ends in a 0 or a 5.
5. A whole number is divisible by 6 if it is divisible by both 2 and 3.
(is divisible by 2 and 3)
(is divisible by 2 and 3)
6. A whole number is divisible by 9 if the sum of the digits is divisible by 9.
(is divisible by 9)

13. 4.2 – Factors and Simplest Form
A Number as a Product of Prime Numbers
Factor Trees

14. 4.2 – Factors and Simplest Form
A Number as a Product of Prime Numbers
Factor Trees

15. 4.2 – Factors and Simplest Form
Defn: A fraction is in simplest form when the numerator and denominator have no other common factors other than 1.

16. 4.2 – Factors and Simplest Form
Write in Simplest Form.

17. 4.2 – Factors and Simplest Form
Write in Simplest Form.
common factor is 4

18. 4.2 – Factors and Simplest Form
Write in Simplest Form.
common factor is 7a2

19. 4.2 – Fractions and Simplest Form
Equivalent Fractions – Two Methods
1. Simplify each fraction.
2. Cross Multiply.
Fractions are equivalent.

20. 4.2 – Fractions and Simplest Form
Equivalent Fractions – Two Methods
1. Simplify each fraction.
2. Cross Multiply.
Fractions are equivalent.

21. 4.2 – Fractions and Simplest Form
Equivalent Fractions – Two Methods
1. Simplify each fraction.
2. Cross Multiply.
Fractions are not equivalent.

22. 4.3 – Multiplying and Dividing Fractions
Multiplying Fractions
1. Multiply the numerators.
2. Multiply the denominators.
3. The product of the numerators remains as the numerator as the product of the denominators remains as the denominator.

23. 4.3 – Multiplying and Dividing Fractions
Multiplying Fractions

24. 4.3 – Multiplying and Dividing Fractions
Multiplying Fractions

25. 4.3 – Multiplying and Dividing Fractions
Multiplying Fractions

26. 4.3 – Multiplying and Dividing Fractions
Multiplying Fractions

27. 4.3 – Multiplying and Dividing Fractions
1. Write the reciprocal of the second fraction (the divisor).
2. Change the division operator to multiplication.
3. Work the problem as a multiplication problem.

28. 4.3 – Multiplying and Dividing Fractions

29. 4.3 – Multiplying and Dividing Fractions

30. 4.3 – Multiplying and Dividing Fractions
YES

31. 4.3 – Multiplying and Dividing Fractions
Hershey Park is located in Pennsylvania. Of its sixty rides, one-sixth of them are roller coasters. How many roller coasters are in Hershey Park?