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Add 54/75 and 21/49

54/75 + 21/49 is 201/175.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 49 is 3675

    Next, find the equivalent fraction of both fractional numbers with denominator 3675
  2. For the 1st fraction, since 75 × 49 = 3675,
    54/75 = 54 × 49/75 × 49 = 2646/3675
  3. Likewise, for the 2nd fraction, since 49 × 75 = 3675,
    21/49 = 21 × 75/49 × 75 = 1575/3675
  4. Add the two like fractions:
    2646/3675 + 1575/3675 = 2646 + 1575/3675 = 4221/3675
  5. 4221/3675 simplified gives 201/175
  6. So, 54/75 + 21/49 = 201/175
    In mixed form: 126/175

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