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Add 3/84 and 12/90

3/84 + 12/90 is 71/420.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 90 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 84 × 15 = 1260,
    3/84 = 3 × 15/84 × 15 = 45/1260
  3. Likewise, for the 2nd fraction, since 90 × 14 = 1260,
    12/90 = 12 × 14/90 × 14 = 168/1260
  4. Add the two like fractions:
    45/1260 + 168/1260 = 45 + 168/1260 = 213/1260
  5. 213/1260 simplified gives 71/420
  6. So, 3/84 + 12/90 = 71/420

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