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Add 42/75 and 30/81

42/75 + 30/81 is 628/675.

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,
    30/81 = 30 × 25/81 × 25 = 750/2025
  4. Add the two like fractions:
    1134/2025 + 750/2025 = 1134 + 750/2025 = 1884/2025
  5. 1884/2025 simplified gives 628/675
  6. So, 42/75 + 30/81 = 628/675

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