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Add 21/12 and 84/35

1st number: 1 9/12, 2nd number: 2 14/35

21/12 + 84/35 is 83/20.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 12 and 35 is 420

    Next, find the equivalent fraction of both fractional numbers with denominator 420
  2. For the 1st fraction, since 12 × 35 = 420,
    21/12 = 21 × 35/12 × 35 = 735/420
  3. Likewise, for the 2nd fraction, since 35 × 12 = 420,
    84/35 = 84 × 12/35 × 12 = 1008/420
  4. Add the two like fractions:
    735/420 + 1008/420 = 735 + 1008/420 = 1743/420
  5. 1743/420 simplified gives 83/20
  6. So, 21/12 + 84/35 = 83/20
    In mixed form: 43/20

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