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Add 14/49 and 24/30

14/49 + 24/30 is 38/35.

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,
    14/49 = 14 × 30/49 × 30 = 420/1470
  3. Likewise, for the 2nd fraction, since 30 × 49 = 1470,
    24/30 = 24 × 49/30 × 49 = 1176/1470
  4. Add the two fractions:
    420/1470 + 1176/1470 = 420 + 1176/1470 = 1596/1470
  5. 1596/1470 simplified gives 38/35
  6. So, 14/49 + 24/30 = 38/35
    In mixed form: 13/35

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