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Add 10/98 and 30/36

10/98 + 30/36 is 275/294.

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,
    10/98 = 10 × 18/98 × 18 = 180/1764
  3. Likewise, for the 2nd fraction, since 36 × 49 = 1764,
    30/36 = 30 × 49/36 × 49 = 1470/1764
  4. Add the two like fractions:
    180/1764 + 1470/1764 = 180 + 1470/1764 = 1650/1764
  5. 1650/1764 simplified gives 275/294
  6. So, 10/98 + 30/36 = 275/294

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