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Add 27/48 and 30/75

27/48 + 30/75 is 77/80.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 48 and 75 is 1200

    Next, find the equivalent fraction of both fractional numbers with denominator 1200
  2. For the 1st fraction, since 48 × 25 = 1200,
    27/48 = 27 × 25/48 × 25 = 675/1200
  3. Likewise, for the 2nd fraction, since 75 × 16 = 1200,
    30/75 = 30 × 16/75 × 16 = 480/1200
  4. Add the two like fractions:
    675/1200 + 480/1200 = 675 + 480/1200 = 1155/1200
  5. 1155/1200 simplified gives 77/80
  6. So, 27/48 + 30/75 = 77/80

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