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Add 40/75 and 12/40

40/75 + 12/40 is 5/6.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 600
  2. For the 1st fraction, since 75 × 8 = 600,
    40/75 = 40 × 8/75 × 8 = 320/600
  3. Likewise, for the 2nd fraction, since 40 × 15 = 600,
    12/40 = 12 × 15/40 × 15 = 180/600
  4. Add the two like fractions:
    320/600 + 180/600 = 320 + 180/600 = 500/600
  5. 500/600 simplified gives 5/6
  6. So, 40/75 + 12/40 = 5/6

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