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Add 35/12 and 12/9

1st number: 2 11/12, 2nd number: 1 3/9

35/12 + 12/9 is 17/4.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 12 and 9 is 36

    Next, find the equivalent fraction of both fractional numbers with denominator 36
  2. For the 1st fraction, since 12 × 3 = 36,
    35/12 = 35 × 3/12 × 3 = 105/36
  3. Likewise, for the 2nd fraction, since 9 × 4 = 36,
    12/9 = 12 × 4/9 × 4 = 48/36
  4. Add the two like fractions:
    105/36 + 48/36 = 105 + 48/36 = 153/36
  5. 153/36 simplified gives 17/4
  6. So, 35/12 + 12/9 = 17/4
    In mixed form: 41/4

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