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Add 27/54 and 40/42

27/54 + 40/42 is 61/42.

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,
    27/54 = 27 × 7/54 × 7 = 189/378
  3. Likewise, for the 2nd fraction, since 42 × 9 = 378,
    40/42 = 40 × 9/42 × 9 = 360/378
  4. Add the two like fractions:
    189/378 + 360/378 = 189 + 360/378 = 549/378
  5. 549/378 simplified gives 61/42
  6. So, 27/54 + 40/42 = 61/42
    In mixed form: 119/42

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