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Add 24/35 and 21/27

24/35 + 21/27 is 461/315.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 35 and 27 is 945

    Next, find the equivalent fraction of both fractional numbers with denominator 945
  2. For the 1st fraction, since 35 × 27 = 945,
    24/35 = 24 × 27/35 × 27 = 648/945
  3. Likewise, for the 2nd fraction, since 27 × 35 = 945,
    21/27 = 21 × 35/27 × 35 = 735/945
  4. Add the two like fractions:
    648/945 + 735/945 = 648 + 735/945 = 1383/945
  5. 1383/945 simplified gives 461/315
  6. So, 24/35 + 21/27 = 461/315
    In mixed form: 1146/315

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