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Add 84/35 and 35/9

1st number: 2 14/35, 2nd number: 3 8/9

84/35 + 35/9 is 283/45.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 35 and 9 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 35 × 9 = 315,
    84/35 = 84 × 9/35 × 9 = 756/315
  3. Likewise, for the 2nd fraction, since 9 × 35 = 315,
    35/9 = 35 × 35/9 × 35 = 1225/315
  4. Add the two like fractions:
    756/315 + 1225/315 = 756 + 1225/315 = 1981/315
  5. 1981/315 simplified gives 283/45
  6. So, 84/35 + 35/9 = 283/45
    In mixed form: 613/45

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