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Add 27/98 and 35/75

27/98 + 35/75 is 1091/1470.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 98 and 75 is 7350

    Next, find the equivalent fraction of both fractional numbers with denominator 7350
  2. For the 1st fraction, since 98 × 75 = 7350,
    27/98 = 27 × 75/98 × 75 = 2025/7350
  3. Likewise, for the 2nd fraction, since 75 × 98 = 7350,
    35/75 = 35 × 98/75 × 98 = 3430/7350
  4. Add the two like fractions:
    2025/7350 + 3430/7350 = 2025 + 3430/7350 = 5455/7350
  5. 5455/7350 simplified gives 1091/1470
  6. So, 27/98 + 35/75 = 1091/1470

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