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Add 40/75 and 60/81

40/75 + 60/81 is 172/135.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 81 is 2025

    Next, find the equivalent fraction of both fractional numbers with denominator 2025
  2. For the 1st fraction, since 75 × 27 = 2025,
    40/75 = 40 × 27/75 × 27 = 1080/2025
  3. Likewise, for the 2nd fraction, since 81 × 25 = 2025,
    60/81 = 60 × 25/81 × 25 = 1500/2025
  4. Add the two like fractions:
    1080/2025 + 1500/2025 = 1080 + 1500/2025 = 2580/2025
  5. 2580/2025 simplified gives 172/135
  6. So, 40/75 + 60/81 = 172/135
    In mixed form: 137/135

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