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Add 12/40 and 56/75

12/40 + 56/75 is 157/150.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 75 is 600

    Next, find the equivalent fraction of both fractional numbers with denominator 600
  2. For the 1st fraction, since 40 × 15 = 600,
    12/40 = 12 × 15/40 × 15 = 180/600
  3. Likewise, for the 2nd fraction, since 75 × 8 = 600,
    56/75 = 56 × 8/75 × 8 = 448/600
  4. Add the two like fractions:
    180/600 + 448/600 = 180 + 448/600 = 628/600
  5. 628/600 simplified gives 157/150
  6. So, 12/40 + 56/75 = 157/150
    In mixed form: 17/150

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