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Add 27/96 and 3/75

27/96 + 3/75 is 257/800.

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,
    27/96 = 27 × 25/96 × 25 = 675/2400
  3. Likewise, for the 2nd fraction, since 75 × 32 = 2400,
    3/75 = 3 × 32/75 × 32 = 96/2400
  4. Add the two like fractions:
    675/2400 + 96/2400 = 675 + 96/2400 = 771/2400
  5. 771/2400 simplified gives 257/800
  6. So, 27/96 + 3/75 = 257/800

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