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Add 12/24 and 40/75

12/24 + 40/75 is 31/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 24 and 75 is 600

    Next, find the equivalent fraction of both fractional numbers with denominator 600
  2. For the 1st fraction, since 24 × 25 = 600,
    12/24 = 12 × 25/24 × 25 = 300/600
  3. Likewise, for the 2nd fraction, since 75 × 8 = 600,
    40/75 = 40 × 8/75 × 8 = 320/600
  4. Add the two like fractions:
    300/600 + 320/600 = 300 + 320/600 = 620/600
  5. 620/600 simplified gives 31/30
  6. So, 12/24 + 40/75 = 31/30
    In mixed form: 11/30

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