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Add 28/30 and 4/49

28/30 + 4/49 is 746/735.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 49 is 1470

    Next, find the equivalent fraction of both fractional numbers with denominator 1470
  2. For the 1st fraction, since 30 × 49 = 1470,
    28/30 = 28 × 49/30 × 49 = 1372/1470
  3. Likewise, for the 2nd fraction, since 49 × 30 = 1470,
    4/49 = 4 × 30/49 × 30 = 120/1470
  4. Add the two like fractions:
    1372/1470 + 120/1470 = 1372 + 120/1470 = 1492/1470
  5. 1492/1470 simplified gives 746/735
  6. So, 28/30 + 4/49 = 746/735
    In mixed form: 111/735

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