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Add 18/40 and 40/75

18/40 + 40/75 is 59/60.

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,
    18/40 = 18 × 15/40 × 15 = 270/600
  3. Likewise, for the 2nd fraction, since 75 × 8 = 600,
    40/75 = 40 × 8/75 × 8 = 320/600
  4. Add the two like fractions:
    270/600 + 320/600 = 270 + 320/600 = 590/600
  5. 590/600 simplified gives 59/60
  6. So, 18/40 + 40/75 = 59/60

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