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Add 7/40 and 21/27

7/40 + 21/27 is 343/360.

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,
    7/40 = 7 × 27/40 × 27 = 189/1080
  3. Likewise, for the 2nd fraction, since 27 × 40 = 1080,
    21/27 = 21 × 40/27 × 40 = 840/1080
  4. Add the two like fractions:
    189/1080 + 840/1080 = 189 + 840/1080 = 1029/1080
  5. 1029/1080 simplified gives 343/360
  6. So, 7/40 + 21/27 = 343/360

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