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Add 27/42 and 48/63

27/42 + 48/63 is 59/42.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 63 is 126

    Next, find the equivalent fraction of both fractional numbers with denominator 126
  2. For the 1st fraction, since 42 × 3 = 126,
    27/42 = 27 × 3/42 × 3 = 81/126
  3. Likewise, for the 2nd fraction, since 63 × 2 = 126,
    48/63 = 48 × 2/63 × 2 = 96/126
  4. Add the two like fractions:
    81/126 + 96/126 = 81 + 96/126 = 177/126
  5. 177/126 simplified gives 59/42
  6. So, 27/42 + 48/63 = 59/42
    In mixed form: 117/42

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