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Add 21/84 and 9/35

21/84 + 9/35 is 71/140.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 35 is 420
  2. For the 1st fraction, since 84 × 5 = 420,
    21/84 = 21 × 5/84 × 5 = 105/420
  3. Likewise, for the 2nd fraction, since 35 × 12 = 420,
    9/35 = 9 × 12/35 × 12 = 108/420
  4. Add the two fractions:
    105/420 + 108/420 = 105 + 108/420 = 213/420
  5. 213/420 simplified gives 71/140
  6. So, 21/84 + 9/35 = 71/140

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