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Add 10/36 and 21/98

10/36 + 21/98 is 31/63.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1764
  2. For the 1st fraction, since 36 × 49 = 1764,
    10/36 = 10 × 49/36 × 49 = 490/1764
  3. Likewise, for the 2nd fraction, since 98 × 18 = 1764,
    21/98 = 21 × 18/98 × 18 = 378/1764
  4. Add the two like fractions:
    490/1764 + 378/1764 = 490 + 378/1764 = 868/1764
  5. 868/1764 simplified gives 31/63
  6. So, 10/36 + 21/98 = 31/63

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