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Add 7/27 and 28/40

7/27 + 28/40 is 259/270.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 40 is 1080

    Next, find the equivalent fraction of both fractional numbers with denominator 1080
  2. For the 1st fraction, since 27 × 40 = 1080,
    7/27 = 7 × 40/27 × 40 = 280/1080
  3. Likewise, for the 2nd fraction, since 40 × 27 = 1080,
    28/40 = 28 × 27/40 × 27 = 756/1080
  4. Add the two like fractions:
    280/1080 + 756/1080 = 280 + 756/1080 = 1036/1080
  5. 1036/1080 simplified gives 259/270
  6. So, 7/27 + 28/40 = 259/270

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