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 #.