Add Fractions With Unlike Denominators

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Add Fractions With Unlike Denominators

  1. 1. Add Fractions with Unlike Denominators Mrs. Young EMC 1
  2. 2. Quick Review <ul><li>Denominator – the number at the bottom of the fraction. This number names the total number of parts that equals a whole </li></ul><ul><li>Unlike denominators </li></ul><ul><ul><li>This means that the denominators are the different </li></ul></ul><ul><ul><ul><li>Example: Look at the fractions below </li></ul></ul></ul>3 4 1 6 The fractions have different denominators– called unlike denominators and
  3. 3. Add Fractions with Unlike Denominators <ul><li>Step 1: You must find equivalent fractions with a common denominator. </li></ul>3 4 1 6 +
  4. 4. Step 1 continued 3 4 1 6 + 9 12 2 12 + x 3 x 3 x 2 x 2 =
  5. 5. Step 2: <ul><li>Add the numerators. This sum becomes the numerator in your answer. </li></ul>9 12 2 12 + = 11
  6. 6. Step 3: <ul><li>Keep the same denominator that is in the problem. </li></ul>9 12 2 12 + = 11 12
  7. 7. Step 4: <ul><li>Simplify (reduce to the lowest terms) your answer </li></ul>9 12 2 12 + = 11 12 Remember that in order to find the simplest form, you must find the greatest common factor of the numerator and the denominator. GCF = 1 = ÷ ÷ 1 1 11 12
  8. 8. Step 1: <ul><li>Step 1: You must find equivalent fractions with a common denominator. </li></ul>3 7 2 3 +
  9. 9. Step 1 continued 3 7 2 3 + 9 21 14 21 + x 3 x 3 x 7 x 7 =
  10. 10. Step 2: <ul><li>Add the numerators. This sum becomes the numerator in your answer. </li></ul>9 21 14 21 + = 25
  11. 11. Step 3: <ul><li>Keep the same denominator that is in the problem. </li></ul>9 21 14 21 + = 25 21
  12. 12. Step 4: <ul><li>Simplify (reduce to the lowest terms) your answer </li></ul><ul><li>In this case, you will need to convert the improper fraction into a mixed number and then simply the fraction </li></ul>25 21 = 25 ÷ 21 = 1 4 21
  13. 13. Step 1: <ul><li>Step 1: You must find equivalent fractions with a common denominator. </li></ul>4 9 5 2 +
  14. 14. Step 1 continued 4 9 5 2 + 8 18 45 18 + x 2 x 2 x 9 x 9
  15. 15. Step 2: <ul><li>Add the numerators. This sum becomes the numerator in your answer. </li></ul>8 18 45 18 + = 53
  16. 16. Step 3: <ul><li>Keep the same denominator that is in the problem. </li></ul>8 18 45 18 + = 53 18
  17. 17. Step 4: <ul><li>Simplify (reduce to the lowest terms) your answer </li></ul><ul><li>In this case, you will need to convert the improper fraction into a mixed number and then simply the fraction </li></ul>53 18 = 53 ÷ 18 = 2 17 18
  18. 18. Your turn! 9 11 3 5 +
  19. 19. Try another! 8 14 6 + 7

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