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Add 35/4 and 21/27

1st number: 8 3/4, 2nd number: 21/27

35/4 + 21/27 is 343/36.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 4 and 27 is 108

    Next, find the equivalent fraction of both fractional numbers with denominator 108
  2. For the 1st fraction, since 4 × 27 = 108,
    35/4 = 35 × 27/4 × 27 = 945/108
  3. Likewise, for the 2nd fraction, since 27 × 4 = 108,
    21/27 = 21 × 4/27 × 4 = 84/108
  4. Add the two like fractions:
    945/108 + 84/108 = 945 + 84/108 = 1029/108
  5. 1029/108 simplified gives 343/36
  6. So, 35/4 + 21/27 = 343/36
    In mixed form: 919/36

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