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Add 21/36 and 30/49

21/36 + 30/49 is 703/588.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1764
  2. For the 1st fraction, since 36 × 49 = 1764,
    21/36 = 21 × 49/36 × 49 = 1029/1764
  3. Likewise, for the 2nd fraction, since 49 × 36 = 1764,
    30/49 = 30 × 36/49 × 36 = 1080/1764
  4. Add the two like fractions:
    1029/1764 + 1080/1764 = 1029 + 1080/1764 = 2109/1764
  5. 2109/1764 simplified gives 703/588
  6. So, 21/36 + 30/49 = 703/588
    In mixed form: 1115/588

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