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Add 30/80 and 40/75

30/80 + 40/75 is 109/120.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 80 and 75 is 1200
  2. For the 1st fraction, since 80 × 15 = 1200,
    30/80 = 30 × 15/80 × 15 = 450/1200
  3. Likewise, for the 2nd fraction, since 75 × 16 = 1200,
    40/75 = 40 × 16/75 × 16 = 640/1200
  4. Add the two fractions:
    450/1200 + 640/1200 = 450 + 640/1200 = 1090/1200
  5. After reducing the fraction, the answer is 109/120

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