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Add 35/98 and 30/36

35/98 + 30/36 is 25/21.

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,
    35/98 = 35 × 18/98 × 18 = 630/1764
  3. Likewise, for the 2nd fraction, since 36 × 49 = 1764,
    30/36 = 30 × 49/36 × 49 = 1470/1764
  4. Add the two like fractions:
    630/1764 + 1470/1764 = 630 + 1470/1764 = 2100/1764
  5. 2100/1764 simplified gives 25/21
  6. So, 35/98 + 30/36 = 25/21
    In mixed form: 14/21

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