Fractioncont

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Fractioncont

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

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