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Add 3/40 and 21/54

3/40 + 21/54 is 167/360.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 54 is 1080

    Next, find the equivalent fraction of both fractional numbers with denominator 1080
  2. For the 1st fraction, since 40 × 27 = 1080,
    3/40 = 3 × 27/40 × 27 = 81/1080
  3. Likewise, for the 2nd fraction, since 54 × 20 = 1080,
    21/54 = 21 × 20/54 × 20 = 420/1080
  4. Add the two like fractions:
    81/1080 + 420/1080 = 81 + 420/1080 = 501/1080
  5. 501/1080 simplified gives 167/360
  6. So, 3/40 + 21/54 = 167/360

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