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Add 27/98 and 40/90

27/98 + 40/90 is 635/882.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 98 and 90 is 4410

    Next, find the equivalent fraction of both fractional numbers with denominator 4410
  2. For the 1st fraction, since 98 × 45 = 4410,
    27/98 = 27 × 45/98 × 45 = 1215/4410
  3. Likewise, for the 2nd fraction, since 90 × 49 = 4410,
    40/90 = 40 × 49/90 × 49 = 1960/4410
  4. Add the two like fractions:
    1215/4410 + 1960/4410 = 1215 + 1960/4410 = 3175/4410
  5. 3175/4410 simplified gives 635/882
  6. So, 27/98 + 40/90 = 635/882

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