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Add 9/27 and 30/49

9/27 + 30/49 is 139/147.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 49 is 1323

    Next, find the equivalent fraction of both fractional numbers with denominator 1323
  2. For the 1st fraction, since 27 × 49 = 1323,
    9/27 = 9 × 49/27 × 49 = 441/1323
  3. Likewise, for the 2nd fraction, since 49 × 27 = 1323,
    30/49 = 30 × 27/49 × 27 = 810/1323
  4. Add the two like fractions:
    441/1323 + 810/1323 = 441 + 810/1323 = 1251/1323
  5. 1251/1323 simplified gives 139/147
  6. So, 9/27 + 30/49 = 139/147

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