Compare Fractions

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Learn how to compare fractions!

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Compare Fractions

  1. 1. Compare Fractions Mrs. Young EMC 1
  2. 2. HOW TO COMPARE FRACTIONS <ul><li>Vocabulary: </li></ul><ul><li>common denominator </li></ul><ul><li>least common denominator </li></ul><ul><li>like fractions </li></ul><ul><li>unlike fractions. </li></ul>
  3. 3. Compare Fractions with common denominators The fractions 2 / 4 and 3 / 4 have the same denominator. Fractions with the same denominators are like fractions .
  4. 4. Compare Fractions with common denominators If denominators are the same , the fraction with the larger numerator is larger. So 3 / 4 is larger than 2 / 4 .
  5. 5. Compare Fractions with common denominators 9 / 16 and 7 / 16 are like fractions . The numerator 9 in 9 / 16 is larger than the numerator 7 in 7 / 16 , making 9 / 16 larger than 7 / 16 .
  6. 6. Compare Unlike Fractions The fractions 3 / 4 and 5 / 8 have unlike denominators and unlike numerators. Fractions that have unlike denominators are unlike fractions .
  7. 7. Compare Unlike Fractions To compare 3 / 4 and 5 / 8 , rename one or both fractions with like denominators making them like fractions . Then compare the numerators. In this case, 3 / 4 is renamed as 6 / 8 so that we can compare the numerator of 6 / 8 and 5 / 8 .
  8. 8. Compare Unlike Fractions: Step 1 <ul><li>To compare 3 / 4 and 5 / 8 , rename one or both fractions with like denominators making them like fractions . </li></ul><ul><li>In order to do this, you must find the least common denominator . </li></ul><ul><ul><li>You will have to be able to use your skills of find the least common multiple in order to do this. </li></ul></ul><ul><ul><ul><li>The least common multiple of 4 and 8 is 8. </li></ul></ul></ul><ul><ul><ul><ul><li>This means that we will rename (or find equivalent fractions) using 8 as the denominator. </li></ul></ul></ul></ul>
  9. 9. Step 1 continued <ul><li>Write equivalent fractions for 3 / 4 and 5 / 8 using 8 as the denominator. </li></ul><ul><li>3 / 4 = 6 / 8 </li></ul><ul><li>5 / 8 = 5 / 8 </li></ul>
  10. 10. Step 2: <ul><li>Compare the fractions </li></ul><ul><li>3 / 4 = 6 / 8 </li></ul><ul><li>5 / 8 = 5 / 8 </li></ul><ul><li>6 / 8 > 5 / 8 , which means that 3 / 4 > 5 / 8 </li></ul>
  11. 11. Compare Unlike Fractions: Step 1 <ul><li>To compare 5 / 7 and 3 / 5 , rename one or both fractions with like denominators making them like fractions . </li></ul><ul><li>In order to do this, you must find the least common denominator . </li></ul><ul><ul><li>You will have to be able to use your skills of find the least common multiple in order to do this. </li></ul></ul><ul><ul><ul><li>The least common multiple of 7 and 5 is 35. </li></ul></ul></ul><ul><ul><ul><ul><li>This means that we will rename (or find equivalent fractions) using 35 as the denominator. </li></ul></ul></ul></ul>
  12. 12. Step 1 continued <ul><li>Write equivalent fractions for 5 / 7 and 3 / 5 using 35 as the denominator. </li></ul><ul><li>5 / 7 = 25 / 35 </li></ul><ul><li>3 / 5 = 21 / 35 </li></ul>
  13. 13. Step 2: <ul><li>Compare the fractions </li></ul><ul><li>5 / 7 = 25 / 35 </li></ul><ul><li>3 / 5 = 21 / 35 </li></ul><ul><li>25 / 35 > 21 / 35, which means that 5 / 7 > 3 / 5 </li></ul>
  14. 14. Compare Unlike Fractions: Step 1 <ul><li>To compare 6 / 9 and 1 / 2 , rename one or both fractions with like denominators making them like fractions . </li></ul><ul><li>In order to do this, you must find the least common denominator . </li></ul><ul><ul><li>You will have to be able to use your skills of find the least common multiple in order to do this. </li></ul></ul><ul><ul><ul><li>The least common multiple of 9 and 2 is 18. </li></ul></ul></ul><ul><ul><ul><ul><li>This means that we will rename (or find equivalent fractions) using 18 as the denominator. </li></ul></ul></ul></ul>
  15. 15. Step 1 continued <ul><li>Write equivalent fractions for 6 / 9 and 1 / 2 using 18 as the denominator. </li></ul><ul><li>6 / 9 = 12 / 18 </li></ul><ul><li>1 / 2 = 9 / 18 </li></ul>
  16. 16. Step 2: <ul><li>Compare the fractions </li></ul><ul><li>6 / 9 = 12 / 18 </li></ul><ul><li>1 / 2 = 9 / 18 </li></ul><ul><li>12 / 18 > 9 / 18, which means that 6 / 9 > 1 / 2 </li></ul>
  17. 17. Compare the fractions <ul><li>8 / 9 and 5 / 9 </li></ul><ul><li>5 / 6 and 7 / 10 </li></ul><ul><li>3 / 6 and 9 / 11 </li></ul>

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