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Add 30/40 and 10/27

30/40 + 10/27 is 121/108.

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,
    30/40 = 30 × 27/40 × 27 = 810/1080
  3. Likewise, for the 2nd fraction, since 27 × 40 = 1080,
    10/27 = 10 × 40/27 × 40 = 400/1080
  4. Add the two like fractions:
    810/1080 + 400/1080 = 810 + 400/1080 = 1210/1080
  5. 1210/1080 simplified gives 121/108
  6. So, 30/40 + 10/27 = 121/108
    In mixed form: 113/108

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