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Add 42/75 and 42/81

42/75 + 42/81 is 728/675.

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,
    42/75 = 42 × 27/75 × 27 = 1134/2025
  3. Likewise, for the 2nd fraction, since 81 × 25 = 2025,
    42/81 = 42 × 25/81 × 25 = 1050/2025
  4. Add the two like fractions:
    1134/2025 + 1050/2025 = 1134 + 1050/2025 = 2184/2025
  5. 2184/2025 simplified gives 728/675
  6. So, 42/75 + 42/81 = 728/675
    In mixed form: 153/675

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