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Math Grade 4

Math Grade 4. Mrs. Ennis Adding and Subtracting Fractions Part 2 Lesson Twenty-Three. 451 + X + 127 = 891 87,004 – 25,987 = 7 x R = 56 32 ÷ 4 = What is the product of 3 and 5? (>, <, =) 5ft. _________2 yards. 7. What is the area (length x width) of this figure?

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Math Grade 4

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  1. MathGrade 4 Mrs. Ennis Adding and Subtracting Fractions Part 2 Lesson Twenty-Three

  2. 451 + X + 127 = 891 87,004 – 25,987 = 7 x R = 56 32 ÷ 4 = What is the product of 3 and 5? (>, <, =) 5ft. _________2 yards

  3. 7. What is the area (length x width) of this figure? 8. What is 200 more than 8,956? 9. It takes Nancy 15 minutes to walk a mile. How many miles would she walk in 1½ hours? 1m 1m 10m 6m

  4. 10. Larry reads an average of 20 pages an hour. How many hours will it take him to read a book with 160 pages?

  5. Adding and Subtracting Mixed Numerals

  6. Vocabulary A proper fraction has a numerator that is less than its denominator. An improper fraction has a numerator that is more than or equal to its denominator. A mixed number shows the sum of a whole number and a proper fraction.

  7. Examples ImproperFractions Proper Fractions 5 7 12 9 8 9 10 3 Mixed Numbers 3 17 8 3 20 5

  8. Mixed Numbers and Improper Fractions 15 15 15 is an improper fraction. 4 4 4 3 3 4 For example, We can write improper fractions as mixed numbers. can be shown as =

  9. Mixed Numbers to Improper Fractions

  10. 1 3 4 3 1 Improper Fraction Mixed Number

  11. Improper Fractions 9 4 2 1 4

  12. Improper Fractions 2 3 8 3 2

  13. Improper Fractions 15 4 3 3 4

  14. Writing Mixed Numbers as Improper Fractions • Multiply the denominator of the fraction by the whole number. • Add the product to the numerator. • The resulting sum is the numerator of the improper fraction. • The denominator remains the same.

  15. Example 2 14 4 3 3 Denominator stays the same. 4 X 3 + 2 = 14

  16. Example 4 19 3 5 5 Denominator stays the same. 3 X 5 + 4 = 19

  17. Example 1 5 2 2 2 Denominator stays the same. 2 X 2 + 1 = 5

  18. Example 4 34 6 5 5 Denominator stays the same. 6 X 5 + 4 = 34

  19. Improper Fractions to Mixed Numbers

  20. Improper Fractions to Mixed Numbers + + + + = 1 1 1 1 8 5 8 8 8 5 = + + + + 8 8 8 8 8 8 37 37 = 8 8 4 4 5 8 Convert to a mixed number.

  21. Improper Fractions to Mixed Numbers + + + + = 1 1 1 1 3 3 3 3 2 2 = + + + + 3 3 3 3 3 3 14 14 = 3 3 4 4 2 3 Convert to a mixed number.

  22. Improper Fractions to Mixed Numbers + + + = 1 1 1 5 5 3 5 3 = + + + 5 5 5 5 5 18 18 = 5 5 3 3 5 Convert to a mixed number.

  23. Writing Improper Fractions as Mixed Numbers • If you have an improper fraction, you can divide the denominator into the numerator. • The quotient becomes the whole number part of the mixed number. • The remainder is the numerator of the fraction. • The divisor is the denominator of the fraction.

  24. Example 13 2 whole number 5 5 13 10 3 numerator denominator 3 2 5 =

  25. Example 23 5 whole number 4 4 23 20 3 numerator denominator 3 5 4 =

  26. Example 19 9 whole number 2 2 19 18 1 numerator denominator 1 9 2 =

  27. Example 36 6 whole number 6 6 36 36 0 numerator denominator 6 =

  28. Let’s try it! 1 3 Change each improper fraction into a mixed numeral. 1 = 4 3 1 2 1 6 4 2 4 1 = = 2 3 1 14 8 6 8 1 = =

  29. Let’s try it! 3 = Change each improper fraction into a mixed numeral. 21 7 17 3 2 3 5 = 1 5 3 32 10 2 10 3 = =

  30. 17 5 2 5 = 3 Change each mixed numeral into an improper fraction. 21 8 5 8 = 2 4 5 = 3 19 5

  31. 56 9 2 9 = 6 Change each mixed numeral into an improper fraction. 33 7 5 7 = 4 2 5 = 8 42 5

  32. Adding Mixed Numerals with Like Denominators

  33. AddingMixed Numbers Stack your problem with fractions and whole numbers lining up. 2 7 2. Make sure your fractions have the same denominator. 6 3. Add your fractions. 4. Add your whole numbers. 5. Make sure any fractions are in simplest form. 3 7 4 + 10 5 7

  34. AddingMixed Numbers Stack your problem with fractions and whole numbers lining up. 6 9 2. Make sure your fractions have the same denominator. 3 3. Add your fractions. 4. Add your whole numbers. 5. Make sure any fractions are in simplest form. 1 9 5 + 8 7 9

  35. AddingMixed Numbers Stack your problem with fractions and whole numbers lining up. 6 10 2. Make sure your fractions have the same denominator. 4 3. Add your fractions. 4. Add your whole numbers. 5. Make sure any fractions are in simplest form. 2 10 5 + 9 8 10 4 5 =

  36. AddingMixed Numbers Stack your problem with fractions and whole numbers lining up. 4 10 2. Make sure your fractions have the same denominator. 5 3. Add your fractions. 4. Add your whole numbers. 5. Make sure any fractions are in simplest form. 6 10 2 + 7 1 =8 10 10 + =

  37. AddingMixed Numbers 2 9 3 9 11 9 =1 6 8 9 4 =11 2 9 + 10 + 1 2 9 10 11 9 2 9 =11

  38. AddingMixed Numbers 2 4 3 4 6 4 =1 7 3 4 4 =12 1 2 + 11 + 1 1 2 11 6 4 1 2 =12

  39. AddingMixed Numbers 2 5 =1 5 5 2 3 5 5 = 8 + 7 + 1 7 5 5 = 8

  40. Subtracting Mixed Numerals with Like Denominators

  41. SubtractingMixed Numbers Stack your problem with fractions and whole numbers lining up. 5. Make sure any fractions are in simplest form. 3. Determine whether you need to make improper fractions. 5 7 2. Make sure your fractions have the same denominator. 4. Subtract your whole numbers and then your fractions. 6 _ 3 7 4 2 2 7

  42. SubtractingingMixed Numbers 5. Make sure any fractions are in simplest form. 3. Determine whether you need to make improper fractions. Stack your problem with fractions and whole numbers lining up. 6 9 4. Subtract your whole numbers and then your fractions. 2. Make sure your fractions have the same denominator. 8 3 9 1 3 = _ 3 9 2 6 6 3 9 1 3

  43. SubtractingMixed Numbers 4 7 5. Make sure any fractions are in simplest form. 4. Subtract your fractions and then your whole numbers if necessary. Stack your problem with fractions and whole numbers lining up. 6 46 7 3. Determine whether you need convert mixed numerals to improper fractions. 2. Make sure your fractions have the same denominator. = _ 6 7 3 27 7 = 19 7 5 7 2 =

  44. SubtractingMixed Numbers 3 9 5. Make sure any fractions are in simplest form. 4. Subtract your fractions and then your whole numbers if necessary. Stack your problem with fractions and whole numbers lining up. 8 75 9 3. Determine whether you need convert mixed numerals to improper fractions. 2. Make sure your fractions have the same denominator. = _ 5 9 1 14 9 = 61 9 7 9 6 =

  45. SubtractingMixed Numbers 3 8 5. Make sure any fractions are in simplest form. 4. Subtract your fractions and then your whole numbers if necessary. Stack your problem with fractions and whole numbers lining up. 3 27 8 3. Determine whether you need convert mixed numerals to improper fractions. 2. Make sure your fractions have the same denominator. = _ 5 8 5 8 = 3 4 22 8 6 8 2 2 =

  46. SubtractingMixed Numbers 1 4 5. Make sure any fractions are in simplest form. 4. Subtract your fractions and then your whole numbers if necessary. Stack your problem with fractions and whole numbers lining up. 5 21 4 3. Determine whether you need convert mixed numerals to improper fractions. 2. Make sure your fractions have the same denominator. = _ 3 4 3 15 4 = 6 4 2 4 1 2 1 =

  47. Online Practice http://www.aaamath.com/fra66ex2.htm http://www.ixl.com/math/grade-4/add-and-subtract-fractions-with-like-denominators-word-problems http://www.ixl.com/math/grade-3/add-and-subtract-fractions-with-like-denominators

  48. Math Fun: Sharon has fewer than 20 coins. When she puts them in piles of 5, she has 1 left over. When she puts them in piles of 3, she also has 1 left over. How many coins does Sharon have?

  49. Answer: Sharon has 16 coins. 5+5+5+1 = 16 3+3+3+3+3+1 + 16

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