1. Unit 2. Day 1.

2. Today’s Lesson 1) What are rational numbers? 2) What are fractions
3) Simplifying fractions

3. What is a rational number?

4. What is a ratio? ratio : (comparison)
the relationship that exists between the size, number, or amount of two things and that is often represented by two numbers

5. A ratio is a comparison of two quantities by division
5 4
Ratio of boys to girls:
5 to 4
5:4
4 5
Ratio of girls to boys:
4 to 5
4:5

6. Ratio of cars to planes: 6 to 4 3:2 6:4 3 to 2
Example A: Write each ratio as a fraction in simplest form
3 2
6 4
Ratio of cars to planes:
6 to 4
3:2
6:4
3 to 2
2 3
4 6
Ratio of planes to cars:
2 to 3
4 to 6
4:6
2:3

7. What is a ratio?
ratio :
FRACTION

9. Today’s Lesson 1) What are rational numbers? 2) What are fractions
3) Simplifying fractions

10. What are fractions?

11. What are fractions?
𝑝𝑎𝑟𝑡 𝑤ℎ𝑜𝑙𝑒
3 12
1 4 = =

12. What are fractions?
𝑝𝑎𝑟𝑡 𝑤ℎ𝑜𝑙𝑒
2 12
1 6 = =

13. What are fractions?
𝑝𝑎𝑟𝑡 𝑤ℎ𝑜𝑙𝑒
6 12
1 2 = =

14. What are fractions?
𝑝𝑎𝑟𝑡 𝑤ℎ𝑜𝑙𝑒
4 12
1 3 = =

15. What are fractions?
𝑝𝑎𝑟𝑡 𝑤ℎ𝑜𝑙𝑒
7 12
7 12 = =

16. What are fractions?
𝑝𝑎𝑟𝑡 𝑤ℎ𝑜𝑙𝑒
15 12
1 3 12
1 1 4 = = =

18. Today’s Lesson 1) What are rational numbers? 2) What are fractions
3) Simplifying fractions

19. Simplifying Fractions

20. Commercial Break
6 6
1 1
56 56
1 1 → →
8 8
1 1
1 1 → →

21. Example A: Write 18 24 in simplest form.÷2
9 12 ÷3
3 4 ÷2 ÷3
Elementary School

22. Example A: Write 18 24 in simplest form.
Middle School 3
18 24 1 2
∙3∙ 3 1 = = 1 2
∙2∙2∙ 1 4 3 24 18 4 6 3 6 2 3 2 2 2 3

23. Example A: Write 18 24 in simplest form.
Middle School
18 24
3 4
2∙3∙3 = =
2∙2∙2∙3 24 18 4 6 3 6 2 3 2 2 2 3

24. Middle School Elementary School 3 4 18 24 = = 18 24 9 12 3 4 2∙3∙3
2∙2∙2∙3
18 24 ÷2
9 12 ÷3
3 4 ÷2 ÷3
Elementary School

25. Example B: Write 12 32 in simplest form.
∙ ∙3 1 2 3 = = 1 2
∙ ∙2∙2∙2 1 2 8 32 4 8 12 2 2 2 4 3 4 2 2 2 2

26. Example B: Write 12 32 in simplest form.
3 8
2∙2∙3 = =
2∙2∙2∙2∙2 32 4 8 12 2 2 2 4 3 4 2 2 2 2

27. Example C: Write 20 75 in simplest form.
Example D: Write in simplest form.

28. Example C: Write 20 75 in simplest form.
4 15
2∙2∙5 = =
3∙5∙5 20 75 2 10 3 25 2 5 5 5

29. Example D: Write 18 90 in simplest form.
2∙3∙3 = = ?
2∙3∙3∙5 18 90 2 9 9 10 3 3 3 3 2 5

30. Example D: Write 18 90 in simplest form.
∙ ∙ 2 1 1 3 3 1 = = 1 2
∙ ∙ ∙5 1 3 1 3 5 18 90 2 9 9 10 3 3 3 3 2 5

31. Example E: Write 70 42 in simplest form.
5 3
2∙5∙7
1 2 3 = = =
2∙3∙7 70 42 7 10 6 7 2 5 2 3

32. Example F*: Write 90 35 in simplest form.
18 7
2 4 7
2∙3∙3∙5 = = =
5∙7 90 35 9 10 5 7 3 3 2 5

33. Example G: Four inches is what part of one foot?
4 12
1 3
2∙2 = =
2∙2∙3 12 4 4 3 2 2 2 2

34. Example H: Mr. Jordan did a survey of the 260 RMS 7th graders
Example H: Mr. Jordan did a survey of the 260 RMS 7th graders. He wanted to know what they liked better, Coke or Pepsi of the students prefer coke. Express the fraction in simplest form.
3 4
3∙5∙13 = =
2∙2∙5∙13
195
260 5 39 10 26 3 13 2 13 2 5