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Add 12/45 and 8/84

12/45 + 8/84 is 38/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 84 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 45 × 28 = 1260,
    12/45 = 12 × 28/45 × 28 = 336/1260
  3. Likewise, for the 2nd fraction, since 84 × 15 = 1260,
    8/84 = 8 × 15/84 × 15 = 120/1260
  4. Add the two like fractions:
    336/1260 + 120/1260 = 336 + 120/1260 = 456/1260
  5. 456/1260 simplified gives 38/105
  6. So, 12/45 + 8/84 = 38/105

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