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Fractioncont

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Transcript

  • 1. Fractions Cont.
  • 2. Vocabulary
    • Multiple --
    • The product of two or more numbers.
    • Common Multiples --
    • Multiples of one number that are also multiples of another number.
    • Least Common Multiple (LCM) --
    • The least number that is a common multiple.
  • 3. Find the Least Common Multiple. (LCM)
    • 2 and 8
    • 5 and 6
    • 3 and 9
    • Direction
  • 4. Find the Least Common Multiple.
    • 2 and 8 (LCM) = 8
    • 5 and 6 (LCM) = 30
    • 3 and 9 (LCM) = 9
  • 5. Least Common Denominator (LCD)
    • Least Common Denominator (LCD): the Least Common Multiple of two or more denominators.
  • 6. Find the Least Common Denominator of each group of fractions.
    • 1/2 and 1/8
    • 2/5 and 2/6
    • 1/3 and 5/9
  • 7. Find the Least Common Denominator of each group of fractions.
    • 1/2 and 1/8; (LCM) = 8
    • 1/2 = 4/ 8 and 1/8 = 1/ 8
    • 2/5 and 2/6; (LCM) = 30
    • 2/5 = 12/ 30 and 2/6 = 10/ 30
    • 1/3 and 5/9; (LCM) = 9
    • 1/3 = 3/ 9 and 5/9 = 5/ 9
  • 8. Comparing
    • Decide which is larger.
    • 4/25 2/15
    • Look at both numbers multiples.
      • 25: 25,50, 75 ,100
      • 15: 15,30,45,60, 75 ,90
  • 9. Comparing
    • Decide which is larger.
    • 4/25 2/15
    • LCM = 75
  • 10. Comparing
    • Decide which is larger.
    • 4/25 2/15
    • Change the denominator to the LCM.
    • 4 x 3 = 12 2 x 5 = 10
    • 25 x 3 = 75 15 x 5 = 75
  • 11. Comparing
    • Decide which is larger.
    • 4/25 > 2/15
    • 4/25 is larger
  • 12. Comparing
    • Decide which is larger.
    • 3/4 2/8
    • 4/5 5/6
    • 5/12 3/9
    • 1/5 2/12
  • 13. Comparing
    • Decide which is larger. Answers
    • 3/4;2/8
    • LCM = 8 6/8 > 2/8 Answer: 3/4
    • 4/5;5/6
    • LCM = 30 24/30 < 25/30 Answer: 5/6
    • 5/12;3/9
    • LCM = 36 15/36 > 12/36 Answer: 5/12
    • 1/5;2/12
    • LCM = 60 12/60 > 10/60 Answer: 1/5
  • 14. Ordering
    • Write in order from least to greatest.
    • 5/6,3/4,7/12
    • 2/3,3/4,2/6
    • 1/2,1/5,1/8
  • 15. Ordering
    • Write in order from least to greatest.
    • 5/6,3/4,7/12
    • Find the LCM = 12
    • 10/12,9/12,7/12
    • Answer: 7/12,3/4,5/6
  • 16. Ordering
    • Write in order from least to greatest.
    • 2/3,3/4,2/6
    • Find the LCM = 12
    • 8/12,9/12,4/12
    • Answer: 2/6,2/3,3/4
  • 17. Ordering
    • Write in order from least to greatest.
    • 3. 1/2,1/5,1/8
    • Find the product of the denominators.
    • 2 x 5 x 8 = 80
    • 40/80,16/80,10/80
    • Answer: 1/8,1/5,1/2
  • 18. Ordering
    • Write in order from least to greatest.
    • 3. 1/2,1/5,1/8
    • List the Prime Factors:
    • 2 = 2
    • 5 = 5
    • 8 = 2 x 2 x 2
    • LCD = 2 x 2 x 2 x 5 = 40
    • 20/40, 8/40, 5/40
    • Answer: 1/8, 1/5, 1/2
  • 19. Changing a Fraction to a Percent
    • 1. 1/2
    • 2. 3/5
    • 3. 1/4
  • 20. Changing a Fraction to a Percent--Answer
    • 1. 1/2 =
    • 2. 3/5 =
    • 3. 1/4 =
  • 21. Changing a Fraction to a Percent
    • Put the percents in order from least to greatest.
    • 50%, 60%, 25%
  • 22. Changing a Fraction to a Percent -- Answer
    • Put the percents in order from least to greatest.
    • 50%, 60%, 25%
    • 25%
    • 50%
    • 60%

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