1. CONFIDENTIAL1 MIXED NUMBERS AND IMPROPER FRACTIONS

2. 2 PRE-REQUISITE SKILL DIVIDE AND ROUND TO THE NEAREST TENTH 8 ÷ 3 = 19 ÷ 6 = 52 ÷ 8 = 67 ÷ 9 =

3. CONFIDENTIAL3 MIXED NUMBERS A Mixed Number indicates the sum of a whole number and a fraction. A number like 11/3 is an example of a mixed number. 1 1/3 = 1 + 1/3

4. CONFIDENTIAL4 Improper Fraction If the numerator is greater than the denominator, then the fractions are called improper fractions. Mixed Numbers can written as improper fraction.

5. CONFIDENTIAL5 The number below shows the number line show 2 groups of fractions. 0 1 2 3 4 5 6 7 8 9 10 11 12 6 6 6 6 6 6 6 6 6 6 6 6 The numerators are less than the denominators The numerators are greater than the denominators

6. CONFIDENTIAL6 MIXED NUMBERS AS IMPROPER FRACTIONS Draw a model for 4 1/6, then write 4 1 as 6 Improper fractions. Since the mixed number is greater than 4, draw 5 models that are divided into 6 equal sections to show sixths. Then shade four wholes and one sixth.

7. CONFIDENTIAL7 Write 4 1 as an improper fraction 6 There are twenty-five 1/6 s. So, 4 1/6 can be written as 25 6

8. CONFIDENTIAL8 Now your turn! Draw a model for 3 3/8. Then write 3 3/8 as an improper fraction.

9. CONFIDENTIAL9 Mixed Numbers as Improper Fractions Multiply the whole number and the denominator. Then add the numerator 6 ½ = (6 x 2) + 1 = 13 2 2

10. CONFIDENTIAL10 Example – 2 Write 3 ¼ as improper fractions. i.e 3 ¼ = (3 x 4) + 1 = 13 4 4

11. CONFIDENTIAL11 Your Turn!!! Write each mixed number as an improper fraction. 4 3/8 4 ¾

12. CONFIDENTIAL12 Improper Fractions as Mixed Fractions Improper fractions can also be written as mixed numbers. Divide the numerator by the denominator. Example: 18 4 Use the remainder as the numerator of the fraction 1816 2 4 4

13. CONFIDENTIAL13 EXAMPLE – 2 Write 17 into mixed fractions 8 Divide 17/8 1716 1 8 2

14. CONFIDENTIAL14 Now your turn Write each improper fraction as a mixed fraction. 19 5. 28 17

15. CONFIDENTIAL15 BREAK

16. CONFIDENTIAL16

17. CONFIDENTIAL17 PRACTICE PROBLEMS I Draw a model for 9/4. Write the fraction as mixed fraction. II Draw a model for each fraction and write the mixed number as an improper fraction. i) 4 1/8 ii) 3 ¾

18. CONFIDENTIAL18 MORE PRACTICE ROBLEMS III Write each mixed number as an improper fraction i) 5 1/8 ii) 2 7/8 iii) 1 5/6 iv) 3 1/3 v) 9 ¼ IV Write each improper fraction as a mixed number i) 17/8 ii) 37/3 iii) 13/3 iv) 28/16 v) 78/8

19. CONFIDENTIAL19 Assignments Mr. G walked 59/ 8 meters. Write the distance Mr. G walked as mixed number.

20. CONFIDENTIAL20 Assignments The width of a piece of paper is 17 ½ inches. Write 17 ½ as an improper fraction.

21. CONFIDENTIAL21 Do these problems City W is 4 5/4 meters long. Write the distance as mixed numbers. Mr. Stephen said to Miss Mary that he wants 3 ¾ spoons of sugar for a tea. Represent 3 ¾ as improper fractions

22. CONFIDENTIAL22 Review A mixed number indicates the sum of a whole number and a fraction If the numerator is greater than the denominator, then the fraction is called improper fraction. To convert a mixed number into improper fraction, multiply the whole number and denominator and to the product add the numerator. To convert an improper fraction into a mixed fraction, divide the numerator by the denominator and use the remainder as the numerator of the fraction.

23. CONFIDENTIAL23 THAT’S ALL ABOUT MIXED NUMBERS AND IMPROPER FRACTIONS