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Add 6/49 and 21/36

6/49 + 21/36 is 415/588.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 36 is 1764

    Next, find the equivalent fraction of both fractional numbers with denominator 1764
  2. For the 1st fraction, since 49 × 36 = 1764,
    6/49 = 6 × 36/49 × 36 = 216/1764
  3. Likewise, for the 2nd fraction, since 36 × 49 = 1764,
    21/36 = 21 × 49/36 × 49 = 1029/1764
  4. Add the two like fractions:
    216/1764 + 1029/1764 = 216 + 1029/1764 = 1245/1764
  5. 1245/1764 simplified gives 415/588
  6. So, 6/49 + 21/36 = 415/588

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