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Add 2/5 and 8/21

2/5 + 8/21 is 82/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 5 and 21 is 105
  2. For the 1st fraction, since 5 × 21 = 105,
    2/5 = 2 × 21/5 × 21 = 42/105
  3. Likewise, for the 2nd fraction, since 21 × 5 = 105,
    8/21 = 8 × 5/21 × 5 = 40/105
  4. Add the two fractions:
    42/105 + 40/105 = 42 + 40/105 = 82/105
  5. So, 2/5 + 8/21 = 82/105

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