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Add 27/21 and 45/12

1st number: 1 6/21, 2nd number: 3 9/12

27/21 + 45/12 is 141/28.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 12 is 84

    Next, find the equivalent fraction of both fractional numbers with denominator 84
  2. For the 1st fraction, since 21 × 4 = 84,
    27/21 = 27 × 4/21 × 4 = 108/84
  3. Likewise, for the 2nd fraction, since 12 × 7 = 84,
    45/12 = 45 × 7/12 × 7 = 315/84
  4. Add the two like fractions:
    108/84 + 315/84 = 108 + 315/84 = 423/84
  5. 423/84 simplified gives 141/28
  6. So, 27/21 + 45/12 = 141/28
    In mixed form: 51/28

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