1 / 25

MIXED NUMBERS AND IMPROPER FRACTIONS

MIXED NUMBERS AND IMPROPER FRACTIONS. PRE-REQUISITE SKILL . DIVIDE AND ROUND TO THE NEAREST TENTH 8 ÷ 3 = 2.7 19 ÷ 6 = 3.2 52 ÷ 8 = 6.5 67 ÷ 9 = 7.4. MIXED NUMBERS.

zulema
Download Presentation

MIXED NUMBERS AND IMPROPER FRACTIONS

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. MIXED NUMBERS AND IMPROPER FRACTIONS CONFIDENTIAL

  2. PRE-REQUISITE SKILL • DIVIDE AND ROUND TO THE NEAREST TENTH • 8 ÷ 3 = 2.7 • 19 ÷ 6 = 3.2 • 52 ÷ 8 = 6.5 • 67 ÷ 9 = 7.4 CONFIDENTIAL

  3. 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 CONFIDENTIAL

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

  5. The number below shows the number line show 2 groups of fractions. 0 1234 56 78 910 1112 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 CONFIDENTIAL

  6. 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. CONFIDENTIAL

  7. 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 CONFIDENTIAL

  8. Now your turn! • Draw a model for 3 3/8. Then write 3 3/8 as an improper fraction. 3 3/8 = 27/8 CONFIDENTIAL

  9. 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 CONFIDENTIAL

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

  11. Your Turn!!! • Write each mixed number as an improper fraction. • 4 3/8 = ( 4 x 8) + 3 = 35 8 8 4 ¾ = (4 x 4) + 3 = 19 4 4 CONFIDENTIAL

  12. Improper Fractions as Mixed Fractions 4 4 2 4 • 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 4 18 16 2 CONFIDENTIAL

  13. EXAMPLE – 2 2 17 16 1 8 • Write 17 into mixed fractions 8 Divide 17/8 17 = 2 1 8 8 CONFIDENTIAL

  14. Now your turn • Write each improper fraction as a mixed fraction. • 19 = 34 5 7 . 28 = 111 17 17 CONFIDENTIAL

  15. BREAK CONFIDENTIAL

  16. JUST RELAX AND SOLVE THIS http://www.thekidzpage.com/onlinejigsawpuzzles/jigsaw-puzzles/12-piece-jigsaw/03-28-06-sxc-snail.html CONFIDENTIAL

  17. 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 CONFIDENTIAL

  18. Answers I 2 + ¼ 9 = 2 ¼ 4 2 4 + 1/8 = 33/8 CONFIDENTIAL

  19. Answer- II (ii) 3 + ¾ 3 + ¾ = 3 ¾ CONFIDENTIAL

  20. MORE PRACTICE ROBLEMS III Write each mixed number as an improper fraction i) 5 1/8 = 41/8 ii) 2 7/8 =23/8 iii) 1 5/6 = 11/6 iv) 3 1/3= 10/3 v) 9 ¼ = 37/4 IV Write each improper fraction as a mixed number i) 17/8= 2 1/8 ii) 37/3= 12 1/3 iii) 13/3 = 4 1/3 iv) 28/16 = 1 12/16 v) 78/8 = 9 6/8 CONFIDENTIAL

  21. Assignments 7 • Mr. G walked 59/ 8 meters. Write the distance Mr. G walked as mixed number. Answer : divide 59/8 59 ÷ 8 = 7 3/8 59 56 3 8 CONFIDENTIAL

  22. Assignments • The width of a piece of paper is 17 ½ inches. Write 17 ½ as an improper fraction. • Answer: 17 ½ = (17 x 2) +1 = 35 2 2 CONFIDENTIAL

  23. Do this problems • City W is 45/4 meters long. Write the distance as mixed numbers. • 45/4 = 11 ¼ • Mr. Stephen said to Miss Mary that he wants 3 ¾ spoons of sugar for a tea. Represent 3 ¾ as improper fractions • 3 ¾ = 15/4 CONFIDENTIAL

  24. 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. CONFIDENTIAL

  25. THAT’S ALL ABOUT MIXED NUMBERS AND IMPROPER FRACTIONS CONFIDENTIAL

More Related