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Add 1/40 and 21/27

1/40 + 21/27 is 289/360.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1080
  2. For the 1st fraction, since 40 × 27 = 1080,
    1/40 = 1 × 27/40 × 27 = 27/1080
  3. Likewise, for the 2nd fraction, since 27 × 40 = 1080,
    21/27 = 21 × 40/27 × 40 = 840/1080
  4. Add the two like fractions:
    27/1080 + 840/1080 = 27 + 840/1080 = 867/1080
  5. 867/1080 simplified gives 289/360
  6. So, 1/40 + 21/27 = 289/360

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