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Finding the LCM, or Lowest Common Multiple, is the primary step for adding fractions that have unlike denominators. In the example: What is 1/4 + 2/5, we need to find the lowest common multiple of 4 and 5. One of the easiest tricks is to attempt to multiply the denominators. 4 x 5 = 20. In this example, 20 is in fact the lowest common multiple.

We need to make sure we not only change the denominators but the numerators as well. Remember in Algebra that whatever you do to one thing you must do to the other. So in our case:

  • 1/4 * 5/5 = 5/20
  • 2/5 * 4/4 = 8/20
  • 5/20 + 8/20 = 13/20.

13 is a Prime number and therefore this fraction is simplified.
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To convert unlike fractions to like fractions, it is necessary to find the LCM of the denominators, in this case called the least common denominator.

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Q: What is finding LCM to add unlike fractions?
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