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Dividing Fractions & Mixed Numbers. Objective: 7.1.02 To develop fluency in +, –, x, and ÷ of non-negative rational numbers. Essential Question: How do.

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Presentation on theme: "Dividing Fractions & Mixed Numbers. Objective: 7.1.02 To develop fluency in +, –, x, and ÷ of non-negative rational numbers. Essential Question: How do."— Presentation transcript:

1 Dividing Fractions & Mixed Numbers

2 Objective: 7.1.02 To develop fluency in +, –, x, and ÷ of non-negative rational numbers. Essential Question: How do I divide fractions and mixed numbers?

3 MORE OLD Vocabulary: Reciprocal – two numbers whose product is 1. Sum/DifferenceProduct/QuotientNumerator/DenominatorLCM/LCD Like/Unlike Fraction Mixed Number/Improper Fraction Dividing Fractions & Mixed Numbers

4 Vocabulary: *Reciprocal – two numbers whose product is 1. Dividing Fractions & Mixed Numbers Example 1: 1 / 2 x 2 Example 2: 1 / 3 x 3 Example 3: 9 / 8 x 8 / 9 Example 4: 3 / 4 x 4 / 3

5 What If: Mr. Williams has 4 pizzas and he wants to divide each one in half, how many pieces will he have altogether?...8 pieces What about 4 pizzas cut into 3rds… 4 ÷ 1 / 3 = 12 pieces What about 4 pizzas cut into 4ths… 4 ÷ 1 / 4 = 16 pieces What about 4 pizzas cut into 5ths… 4 ÷ 1 / 5 = 20 pieces What about 4 pizzas cut into 6ths… 4 ÷ 1 / 6 = 24 pieces Dividing Fractions & Mixed Numbers

6 RULES: The examples from the previous page illustrate the rules for dividing fractions. To divide fractions we have to: (1) Change all mixed numbers to improper fractions (2) Multiply by the reciprocal of the second number OR KEEP IT…CHANGE IT…FLIP IT (3) Reduce/Simplify Improper Fractions Dividing Fractions & Mixed Numbers

7 Example #1: Find 1 / 6 ÷ 3 / 4 Dividing Fractions & Mixed Numbers

8 Example #1: Find 1 / 6 ÷ 3 / 4 Dividing Fractions & Mixed Numbers34 16÷

9 Example #1: Find 1 / 6 ÷ 3 / 4 Keep It Change It Flip It Dividing Fractions & Mixed Numbers34 16÷

10 Example #1: Find 1 / 6 ÷ 3 / 4 Keep It Change It Flip It Dividing Fractions & Mixed Numbers43 X 16 34 16÷

11 Example #1: Find 1 / 6 ÷ 3 / 4 Keep It Change It Flip It Dividing Fractions & Mixed Numbers43 X 16 = 34 16 1 x 4 6 x 3 ÷

12 Example #1: Find 1 / 6 ÷ 3 / 4 Keep It Change It Flip It Dividing Fractions & Mixed Numbers43 X 16 = 34 16 4 _ 4 _18 1 x 4 6 x 3 = ÷

13 Example #1: Find 1 / 6 ÷ 3 / 4 Keep It Change It Flip It Dividing Fractions & Mixed Numbers43 X 16 = 34 16 4 _ 4 _18 = 1 x 4 6 x 3 = 29 ÷

14 Example #1: Find 1 / 6 ÷ 3 / 4 Keep It Change It Flip It Dividing Fractions & Mixed Numbers43 X 16 = 34 16 4 _ 4 _18 = 1 x 4 6 x 3 = 29 ÷ 1 x 2 x 2 2 x 3 x 3 =

15 Example #1: Find 1 / 6 ÷ 3 / 4 Keep It Change It Flip It Dividing Fractions & Mixed Numbers43 X 16 = 34 16 4 _ 4 _18 = 1 x 4 6 x 3 = 29 ÷ 1 x 2 x 2 2 x 3 x 3 =

16 Example #1: Find 1 / 6 ÷ 3 / 4 Keep It Change It Flip It Dividing Fractions & Mixed Numbers43 X 16 = 34 16 4 _ 4 _18 = 1 x 4 6 x 3 = 29 ÷ 1 x 2 x 2 2 x 3 x 3 == 29

17 Example #2: Find 2 / 3 ÷ 3 / 8 Dividing Fractions & Mixed Numbers

18 Example #2: Find 2 / 3 ÷ 3 / 8 Dividing Fractions & Mixed Numbers38 23÷

19 Example #2: Find 2 / 3 ÷ 3 / 8 Keep It Change It Flip It Dividing Fractions & Mixed Numbers38 23÷

20 Example #2: Find 2 / 3 ÷ 3 / 8 Keep It Change It Flip It Dividing Fractions & Mixed Numbers83 X 23 38 23÷

21 Example #2: Find 2 / 3 ÷ 3 / 8 Keep It Change It Flip It Dividing Fractions & Mixed Numbers83 X 23 = 38 23 2 x 8 3 x 3 ÷

22 Example #2: Find 2 / 3 ÷ 3 / 8 Keep It Change It Flip It Dividing Fractions & Mixed Numbers83 X 23 = 38 23 16 9 2 x 8 3 x 3 = ÷

23 Example #2: Find 2 / 3 ÷ 3 / 8 Keep It Change It Flip It Dividing Fractions & Mixed Numbers83 X 23 = 38 23 16 9 = 2 x 8 3 x 3 = 79 ÷ 1

24 Independent Practice: Work each example below (1) 1 / 4 ÷ 3 / 8 (2) 1 / 4 ÷ 1 / 2 (3) 4 ÷ 3 / 4 (4) 5 / 8 ÷ 3 / 4 (5) 5 / 6 ÷ 5 / 6 Dividing Fractions & Mixed Numbers

25 Independent Practice: Answers (1) 2 / 3 (2) 1 / 2 (3) 5 1 / 3 (4) 5 / 6 (5) 1 Dividing Fractions & Mixed Numbers

26 Real World: If Marquis has 5 / 8 of a pizza left over from dinner. If he wants to divide it between himself and four friends, what is the fractional part of the original pizza would each person get? 5 / 8 ÷ 5 = 5 / 8 ÷ 5 / 1 = 5 / 8 x 1 / 5 1 / 8 of the pizza 1 / 8 of the pizza Dividing Fractions & Mixed Numbers

27 Example #3: Find 2 2 / 3 ÷ 3 1 / 2 Dividing Fractions & Mixed Numbers

28 Example #3: Find 2 2 / 3 ÷ 3 1 / 2 Dividing Fractions & Mixed Numbers1223 23 ÷

29 Example #3: Find 2 2 / 3 ÷ 3 1 / 2 Dividing Fractions & Mixed Numbers1223 23 ÷ 72 ÷ 83

30 Example #3: Find 2 2 / 3 ÷ 3 1 / 2 Dividing Fractions & Mixed Numbers1223 23 ÷ 72 ÷ 83 27 x 83 =

31 Example #3: Find 2 2 / 3 ÷ 3 1 / 2 Dividing Fractions & Mixed Numbers= 8 x 2 3 x 7 1223 23 ÷ 72 ÷ 83 27 x 83 =

32 Example #3: Find 2 2 / 3 ÷ 3 1 / 2 Dividing Fractions & Mixed Numbers= 8 x 2 3 x 7 1223 23 ÷ 72 ÷ 83 27 x 83 = 1621 =

33 Example #4: Find 4 1 / 2 ÷ 2 2 / 5 Dividing Fractions & Mixed Numbers

34 Example #4: Find 4 1 / 2 ÷ 2 2 / 5 Dividing Fractions & Mixed Numbers2512 42 ÷

35 Example #4: Find 4 1 / 2 ÷ 2 2 / 5 Dividing Fractions & Mixed Numbers2512 42 ÷ 12 5 ÷ 92

36 Example #4: Find 4 1 / 2 ÷ 2 2 / 5 Dividing Fractions & Mixed Numbers2512 42 ÷ 12 5 ÷ 92 512 x 92 =

37 Example #4: Find 4 1 / 2 ÷ 2 2 / 5 Dividing Fractions & Mixed Numbers= 9 x 5 9 x 5 2 x 12 2512 42 ÷ 12 5 ÷ 92 512 x 92 =

38 Example #4: Find 4 1 / 2 ÷ 2 2 / 5 Dividing Fractions & Mixed Numbers= 9 x 5 9 x 5 2 x 12 2512 42 ÷ 12 5 ÷ 92 512 x 92 = 4524 =

39 Example #4: Find 4 1 / 2 ÷ 2 2 / 5 Dividing Fractions & Mixed Numbers= 9 x 5 9 x 5 2 x 12 = 78 2512 42 ÷ 12 5 ÷ 92 512 x 92 = 4524 = 1

40 Example #4: Find 4 1 / 2 ÷ 2 2 / 5 Dividing Fractions & Mixed Numbers= 9 x 5 9 x 5 2 x 12 = 78 2512 42 ÷ 12 5 ÷ 92 512 x 92 = 4524 = = 3 x 3 x 5 2 x 3 x 4 1

41 Example #4: Find 4 1 / 2 ÷ 2 2 / 5 Dividing Fractions & Mixed Numbers= 9 x 5 9 x 5 2 x 12 = 78 2512 42 ÷ 12 5 ÷ 92 512 x 92 = 4524 = = 3 x 3 x 5 2 x 3 x 4 1

42 Example #4: Find 4 1 / 2 ÷ 2 2 / 5 Dividing Fractions & Mixed Numbers= 9 x 5 9 x 5 2 x 12 = 78 2512 42 ÷ 12 5 ÷ 92 512 x 92 = 4524 = = 3 x 3 x 5 2 x 3 x 4 = 15 8 1

43 Example #4: Find 4 1 / 2 ÷ 2 2 / 5 Dividing Fractions & Mixed Numbers= 9 x 5 9 x 5 2 x 12 = 78 2512 42 ÷ 12 5 ÷ 92 512 x 92 = 4524 = = 3 x 3 x 5 2 x 3 x 4 = 15 8 1 = 78 1

44 Independent Practice: Work each example below (1) 2 / 5 ÷ 1 1 / 12 (2) 2 4 / 9 ÷ 1 1 / 9 (3) 3 1 / 6 ÷ 1 / 3 (4) 2 2 / 5 ÷ 1 1 / 11 Dividing Fractions & Mixed Numbers

45 Independent Practice: Answers (1) 24 / 65 (2) 2 1 / 5 (3) 9 1 / 2 (4) 2 1 / 5 Dividing Fractions & Mixed Numbers

46 Real World: A sand mosaic requires 1/4 cups of sand per project. If there are 3 3/4 cups of sand per bag, how many mosaics can be completed using just one bag? 15 sand mosaics Dividing Fractions & Mixed Numbers

47 HOMEWORK Dividing Fractions & Mixed Numbers

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