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Add 42/96 and 40/75

42/96 + 40/75 is 233/240.

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,
    42/96 = 42 × 25/96 × 25 = 1050/2400
  3. Likewise, for the 2nd fraction, since 75 × 32 = 2400,
    40/75 = 40 × 32/75 × 32 = 1280/2400
  4. Add the two like fractions:
    1050/2400 + 1280/2400 = 1050 + 1280/2400 = 2330/2400
  5. 2330/2400 simplified gives 233/240
  6. So, 42/96 + 40/75 = 233/240

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