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Add 10/27 and 15/40

10/27 + 15/40 is 161/216.

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,
    10/27 = 10 × 40/27 × 40 = 400/1080
  3. Likewise, for the 2nd fraction, since 40 × 27 = 1080,
    15/40 = 15 × 27/40 × 27 = 405/1080
  4. Add the two like fractions:
    400/1080 + 405/1080 = 400 + 405/1080 = 805/1080
  5. 805/1080 simplified gives 161/216
  6. So, 10/27 + 15/40 = 161/216

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