1. Copyright©Ed2NetLearnng.Inc1 DIVIDING FRACTIONS AND MIXED NUMBERS

2. Copyright©Ed2NetLearnng.Inc2 PREVIOUS KNOWLEDGE Write each mixed number as an improper fraction and write the reciprocal of each: 1.3 ¾ - 15/4. Reciprocal – 4/15 2.2 ½ - 5/2. Reciprocal – 2/5 3.1 ¾ - 7/4. Reciprocal - 4/7 4.1 2/5 – 7/5. Reciprocal – 5/7 5.10 2/3 – 32/3. Reciprocal – 3/32

3. Copyright©Ed2NetLearnng.Inc3 Objective To divide fractions and mixed numbers To divide 2 mixed numbers To divide whole number and mixed number

4. Copyright©Ed2NetLearnng.Inc4 Dividing Mixed Numbers To divide mixed numbers, convert the mixed numbers into an improper fraction Take the reciprocal of the divisor and multiply it with the dividend

5. Copyright©Ed2NetLearnng.Inc5 Example - Divide by a Mixed Number Find 5 ½ ÷ 1 ¾ Estimate: 6 ÷ 2 = 3 5 ½ ÷ 1 ¾ = 11 ÷ 7 2 4 = 11 x 4 2 7 = 22 or 3 1 7 7 2 1 Write mixed number as improper fractions Multiply by the reciprocals Compare it with the estimate

6. Copyright©Ed2NetLearnng.Inc6 Example – Dividing Mixed Numbers Find 6 ¼ ÷ 2 ½ 6 ¼ ÷ 2 ½ = 25 ÷ 5 4 2 = 25 x 2 4 5 = 5 = 2 ½ 2 5 1 1 2

7. Copyright©Ed2NetLearnng.Inc7 Now Your Turn Divide: 1.4 ½ ÷ 3 ¾ = 6/5 = 1 1/5 2.4 ¼ ÷ 1 ¼ = 3 2/5 3.1 2/5 ÷ 1 ¾ = 4/5 4.4 4/5 ÷ 2 7/10 = 1 7/9 5.3/8 ÷ 3 ¾ = 1/10

8. Copyright©Ed2NetLearnng.Inc8 EVALUATE EXPRESSIONS Find a ÷ b if a = 2/3 and b = 2 ½ a ÷ b = 2/3 ÷ 2 ½ = 2/3 ÷ 5/2 = 2/3 x 2/5 = 4/15

9. Copyright©Ed2NetLearnng.Inc9 Now try to do it Find f ÷ g if f = 2 5/7 and g = 2/3 f ÷ g = 2 5/7 ÷ 2/3 = 19/7 ÷ 2/3 = 19/7 x 3/2 = 4 1 14

10. Copyright©Ed2NetLearnng.Inc10 Word Problem - Example Number Nut bought 2 ¼ m of cloth. The tailor cut it into 2 and made 2 shirts. What length of cloth was used for each shirt? 2 ¼ ÷ 2 = 9 ÷ 2 4 = 9 x ½ 4 = 9 m 8

11. Copyright©Ed2NetLearnng.Inc11 Let’s do it The product of two numbers is 4 1/6. If one number is 1 2/3. Find the other number? One number x 1 2/3 = 4 1/6 number= 4 1/6 ÷ 1 2/3 = 25/6 ÷ 5/3 = 5/2 = 2 ½

12. Copyright©Ed2NetLearnng.Inc12 Review To divide fractions and mixed numbers

13. Copyright©Ed2NetLearnng.Inc13 Assessment 1.3 ½ ÷ 2 =1 ¾ 2.8 ÷ 1 ¼ = 6 2/5 3.8 ½ ÷ 3 ¼ = 2 8/13 4.2 ½ ÷ 1 1/3 = 1 7/8 5.12 ¾ ÷ 2 ½ = 5 1/10 6.3 1/3 ÷ 3 1/3 = 1 3/7 7.6 3/5 ÷ 2 ¾ = 2 2/5 8.4 3/8 ÷ 1 2/3 = 2 5/8 9.2 ½ ÷ ¼ =10 10.2 2/9 ÷ 1 1/3 = 1 2/3

14. Copyright©Ed2NetLearnng.Inc14 Great Job!