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Add 21/27 and 24/49

21/27 + 24/49 is 559/441.

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,
    21/27 = 21 × 49/27 × 49 = 1029/1323
  3. Likewise, for the 2nd fraction, since 49 × 27 = 1323,
    24/49 = 24 × 27/49 × 27 = 648/1323
  4. Add the two like fractions:
    1029/1323 + 648/1323 = 1029 + 648/1323 = 1677/1323
  5. 1677/1323 simplified gives 559/441
  6. So, 21/27 + 24/49 = 559/441
    In mixed form: 1118/441

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