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Add 4/27 and 21/98

4/27 + 21/98 is 137/378.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 98 is 2646

    Next, find the equivalent fraction of both fractional numbers with denominator 2646
  2. For the 1st fraction, since 27 × 98 = 2646,
    4/27 = 4 × 98/27 × 98 = 392/2646
  3. Likewise, for the 2nd fraction, since 98 × 27 = 2646,
    21/98 = 21 × 27/98 × 27 = 567/2646
  4. Add the two like fractions:
    392/2646 + 567/2646 = 392 + 567/2646 = 959/2646
  5. 959/2646 simplified gives 137/378
  6. So, 4/27 + 21/98 = 137/378

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