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Add 54/75 and 21/56

54/75 + 21/56 is 219/200.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 56 is 4200

    Next, find the equivalent fraction of both fractional numbers with denominator 4200
  2. For the 1st fraction, since 75 × 56 = 4200,
    54/75 = 54 × 56/75 × 56 = 3024/4200
  3. Likewise, for the 2nd fraction, since 56 × 75 = 4200,
    21/56 = 21 × 75/56 × 75 = 1575/4200
  4. Add the two like fractions:
    3024/4200 + 1575/4200 = 3024 + 1575/4200 = 4599/4200
  5. 4599/4200 simplified gives 219/200
  6. So, 54/75 + 21/56 = 219/200
    In mixed form: 119/200

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