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Add 36/54 and 27/42

36/54 + 27/42 is 55/42.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 54 and 42 is 378

    Next, find the equivalent fraction of both fractional numbers with denominator 378
  2. For the 1st fraction, since 54 × 7 = 378,
    36/54 = 36 × 7/54 × 7 = 252/378
  3. Likewise, for the 2nd fraction, since 42 × 9 = 378,
    27/42 = 27 × 9/42 × 9 = 243/378
  4. Add the two like fractions:
    252/378 + 243/378 = 252 + 243/378 = 495/378
  5. 495/378 simplified gives 55/42
  6. So, 36/54 + 27/42 = 55/42
    In mixed form: 113/42

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