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Add 84/27 and 75/40

1st number: 3 3/27, 2nd number: 1 35/40

84/27 + 75/40 is 359/72.

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,
    84/27 = 84 × 40/27 × 40 = 3360/1080
  3. Likewise, for the 2nd fraction, since 40 × 27 = 1080,
    75/40 = 75 × 27/40 × 27 = 2025/1080
  4. Add the two like fractions:
    3360/1080 + 2025/1080 = 3360 + 2025/1080 = 5385/1080
  5. 5385/1080 simplified gives 359/72
  6. So, 84/27 + 75/40 = 359/72
    In mixed form: 471/72

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