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Add 27/75 and 84/98

27/75 + 84/98 is 213/175.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 7350
  2. For the 1st fraction, since 75 × 98 = 7350,
    27/75 = 27 × 98/75 × 98 = 2646/7350
  3. Likewise, for the 2nd fraction, since 98 × 75 = 7350,
    84/98 = 84 × 75/98 × 75 = 6300/7350
  4. Add the two like fractions:
    2646/7350 + 6300/7350 = 2646 + 6300/7350 = 8946/7350
  5. 8946/7350 simplified gives 213/175
  6. So, 27/75 + 84/98 = 213/175
    In mixed form: 138/175

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