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Add 30/75 and 27/40

30/75 + 27/40 is 43/40.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 40 is 600
  2. For the 1st fraction, since 75 × 8 = 600,
    30/75 = 30 × 8/75 × 8 = 240/600
  3. Likewise, for the 2nd fraction, since 40 × 15 = 600,
    27/40 = 27 × 15/40 × 15 = 405/600
  4. Add the two fractions:
    240/600 + 405/600 = 240 + 405/600 = 645/600
  5. After reducing the fraction, the answer is 43/40
  6. In mixed form: 13/40

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