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Add 16/49 and 14/30

16/49 + 14/30 is 583/735.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 30 is 1470
  2. For the 1st fraction, since 49 × 30 = 1470,
    16/49 = 16 × 30/49 × 30 = 480/1470
  3. Likewise, for the 2nd fraction, since 30 × 49 = 1470,
    14/30 = 14 × 49/30 × 49 = 686/1470
  4. Add the two fractions:
    480/1470 + 686/1470 = 480 + 686/1470 = 1166/1470
  5. After reducing the fraction, the answer is 583/735

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