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Add 12/45 and 2/21

12/45 + 2/21 is 38/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 21 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 45 × 7 = 315,
    12/45 = 12 × 7/45 × 7 = 84/315
  3. Likewise, for the 2nd fraction, since 21 × 15 = 315,
    2/21 = 2 × 15/21 × 15 = 30/315
  4. Add the two like fractions:
    84/315 + 30/315 = 84 + 30/315 = 114/315
  5. 114/315 simplified gives 38/105
  6. So, 12/45 + 2/21 = 38/105

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