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Add 40/98 and 21/36

40/98 + 21/36 is 583/588.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 98 and 36 is 1764

    Next, find the equivalent fraction of both fractional numbers with denominator 1764
  2. For the 1st fraction, since 98 × 18 = 1764,
    40/98 = 40 × 18/98 × 18 = 720/1764
  3. Likewise, for the 2nd fraction, since 36 × 49 = 1764,
    21/36 = 21 × 49/36 × 49 = 1029/1764
  4. Add the two like fractions:
    720/1764 + 1029/1764 = 720 + 1029/1764 = 1749/1764
  5. 1749/1764 simplified gives 583/588
  6. So, 40/98 + 21/36 = 583/588

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