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Add 2/5 and 14/21

2/5 + 14/21 is 16/15.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 5 and 21 is 105

    Next, find the equivalent fraction of both fractional numbers with denominator 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,
    14/21 = 14 × 5/21 × 5 = 70/105
  4. Add the two like fractions:
    42/105 + 70/105 = 42 + 70/105 = 112/105
  5. 112/105 simplified gives 16/15
  6. So, 2/5 + 14/21 = 16/15
    In mixed form: 11/15

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