The document provides examples for dividing fractions by using the reciprocal method. It first defines a reciprocal as the "flip" of a fraction. It then shows two examples of dividing fractions step-by-step: 1) 3/7 ÷ 1/2 and 2) 6/1 ÷ 3/4. For each example, it shows finding the reciprocal of the divisor, multiplying instead of dividing, multiplying the numerators and denominators, and simplifying the final answer. The goal is to explain how to divide fractions by using reciprocals.

1. 8-11 Dividing Fractions
Number Sense 2.4

2. Definition: Reciprocal
a mathematical expression or function so
related to another that their product is one

3. Definition: Reciprocal
a mathematical expression or function so
related to another that their product is one
1
2

4. Definition: Reciprocal
a mathematical expression or function so
related to another that their product is one
1 x 2
2 1

5. Definition: Reciprocal
a mathematical expression or function so
related to another that their product is one
1 x 2 = 2
2 1 2

6. Definition: Reciprocal
a mathematical expression or function so
related to another that their product is one
1 x 2 = 2 =
2 1 2 1

7. Definition: Reciprocal
a mathematical expression or function so
related to another that their product is one
1 x 2 = 2 =
2 1 2 1
The reciprocal is usually
the “flip” of the fraction.

8. Definition: Reciprocal
a mathematical expression or function so
related to another that their product is one
1 x 2 = 2 =
2 1 2 1
1 The reciprocal is usually
2 the “flip” of the fraction.

9. Definition: Reciprocal
a mathematical expression or function so
related to another that their product is one
1 x 2 = 2 =
2 1 2 1
2 The reciprocal is usually
1 the “flip” of the fraction.

10. Skill: Finding the Reciprocal
1 3 12
2 4 15
7 4 70
9 5 100

11. Skill: Finding the Reciprocal
1 3 12
2 4 15
The reciprocal is usually
the “flip” of the fraction.
7 4 70
9 5 100

12. Skill: Finding the Reciprocal
2 3 12
1 4 15
The reciprocal is usually
the “flip” of the fraction.
7 4 70
9 5 100

13. Skill: Finding the Reciprocal
2 4 12
1 3 15
The reciprocal is usually
the “flip” of the fraction.
7 4 70
9 5 100

14. Skill: Finding the Reciprocal
2 4 15
1 3 12
The reciprocal is usually
the “flip” of the fraction.
7 4 70
9 5 100

15. Skill: Finding the Reciprocal
2 4 15
1 3 12
The reciprocal is usually
the “flip” of the fraction.
9 4 70
7 5 100

16. Skill: Finding the Reciprocal
2 4 15
1 3 12
The reciprocal is usually
the “flip” of the fraction.
9 5 70
7 4 100

17. Skill: Finding the Reciprocal
2 4 15
1 3 12
The reciprocal is usually
the “flip” of the fraction.
9 5 100
7 4 70

18. Example 1
3 ÷ 1 =
7 2

19. Example 1
STEP ONE: Find the reciprocal of the divisor.
3 ÷ 1 =
7 2

20. Example 1
STEP ONE: Find the reciprocal of the divisor.
3 ÷ 2 =
7 1

21. Example 1
STEP ONE: Find the reciprocal of the divisor.
3 ÷ 2 =
7 1
STEP TWO: Multiply instead of divide.

22. Example 1
STEP ONE: Find the reciprocal of the divisor.
3 x 2 =
7 1
STEP TWO: Multiply instead of divide.

23. Example 1
STEP ONE: Find the reciprocal of the divisor.
3 x 2 =
7 1
STEP TWO: Multiply instead of divide.
STEP THREE: Multiply the numerators and the denominators.

24. Example 1
STEP ONE: Find the reciprocal of the divisor.
3 x 2 = 6
7 1
STEP TWO: Multiply instead of divide.
STEP THREE: Multiply the numerators and the denominators.

25. Example 1
STEP ONE: Find the reciprocal of the divisor.
3 x 2 = 6
7 1 7
STEP TWO: Multiply instead of divide.
STEP THREE: Multiply the numerators and the denominators.

26. Example 1
STEP ONE: Find the reciprocal of the divisor.
3 x 2 = 6
7 1 7
STEP TWO: Multiply instead of divide.
STEP THREE: Multiply the numerators and the denominators.
STEP FOUR: Simplify your answer if necessary.

27. Example 2
6 ÷ 3 =
1 4

28. Example 2
STEP ONE: Find the reciprocal of the divisor.
6 ÷ 3 =
1 4

29. Example 2
STEP ONE: Find the reciprocal of the divisor.
6 ÷ 4 =
1 3

30. Example 2
STEP ONE: Find the reciprocal of the divisor.
6 ÷ 4 =
1 3
STEP TWO: Multiply instead of divide.

31. Example 2
STEP ONE: Find the reciprocal of the divisor.
6 x 4 =
1 3
STEP TWO: Multiply instead of divide.

32. Example 2
STEP ONE: Find the reciprocal of the divisor.
6 x 4 =
1 3
STEP TWO: Multiply instead of divide.
STEP THREE: Multiply the numerators and the denominators.

33. Example 2
STEP ONE: Find the reciprocal of the divisor.
6 x 4 = 24
1 3
STEP TWO: Multiply instead of divide.
STEP THREE: Multiply the numerators and the denominators.

34. Example 2
STEP ONE: Find the reciprocal of the divisor.
6 x 4 = 24
1 3 3
STEP TWO: Multiply instead of divide.
STEP THREE: Multiply the numerators and the denominators.

35. Example 2
STEP ONE: Find the reciprocal of the divisor.
6 x 4 = 24
1 3 3
STEP TWO: Multiply instead of divide.
STEP THREE: Multiply the numerators and the denominators.
STEP FOUR: Change the improper fraction into a mixed #.

36. Example 2
STEP ONE: Find the reciprocal of the divisor.
6 x 4 = 24
1 3 3
STEP TWO: Multiply instead of divide.
STEP THREE: Multiply the numerators and the denominators.
STEP FOUR: Change the improper fraction into a mixed #.

37. Example 2
STEP ONE: Find the reciprocal of the divisor.
8
6 x 4 = 24 3 24
1 3 3 24
0
STEP TWO: Multiply instead of divide.
STEP THREE: Multiply the numerators and the denominators.
STEP FOUR: Change the improper fraction into a mixed #.

38. Example 2
STEP ONE: Find the reciprocal of the divisor.
6 x 4 = 24
1 3 3
STEP TWO: Multiply instead of divide.
8
STEP THREE: Multiply the numerators and the denominators.
STEP FOUR: Change the improper fraction into a mixed #.