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Add 21/30 and 25/49

21/30 + 25/49 is 593/490.

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,
    21/30 = 21 × 49/30 × 49 = 1029/1470
  3. Likewise, for the 2nd fraction, since 49 × 30 = 1470,
    25/49 = 25 × 30/49 × 30 = 750/1470
  4. Add the two like fractions:
    1029/1470 + 750/1470 = 1029 + 750/1470 = 1779/1470
  5. 1779/1470 simplified gives 593/490
  6. So, 21/30 + 25/49 = 593/490
    In mixed form: 1103/490

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