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Add 30/96 and 40/75

30/96 + 40/75 is 203/240.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 2400
  2. For the 1st fraction, since 96 × 25 = 2400,
    30/96 = 30 × 25/96 × 25 = 750/2400
  3. Likewise, for the 2nd fraction, since 75 × 32 = 2400,
    40/75 = 40 × 32/75 × 32 = 1280/2400
  4. Add the two like fractions:
    750/2400 + 1280/2400 = 750 + 1280/2400 = 2030/2400
  5. 2030/2400 simplified gives 203/240
  6. So, 30/96 + 40/75 = 203/240

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