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Add 27/45 and 1/84

27/45 + 1/84 is 257/420.

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,
    27/45 = 27 × 28/45 × 28 = 756/1260
  3. Likewise, for the 2nd fraction, since 84 × 15 = 1260,
    1/84 = 1 × 15/84 × 15 = 15/1260
  4. Add the two like fractions:
    756/1260 + 15/1260 = 756 + 15/1260 = 771/1260
  5. 771/1260 simplified gives 257/420
  6. So, 27/45 + 1/84 = 257/420

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