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Add 54/75 and 30/96

54/75 + 30/96 is 413/400.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 96 is 2400

    Next, find the equivalent fraction of both fractional numbers with denominator 2400
  2. For the 1st fraction, since 75 × 32 = 2400,
    54/75 = 54 × 32/75 × 32 = 1728/2400
  3. Likewise, for the 2nd fraction, since 96 × 25 = 2400,
    30/96 = 30 × 25/96 × 25 = 750/2400
  4. Add the two like fractions:
    1728/2400 + 750/2400 = 1728 + 750/2400 = 2478/2400
  5. 2478/2400 simplified gives 413/400
  6. So, 54/75 + 30/96 = 413/400
    In mixed form: 113/400

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