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Add 2/75 and 40/42

2/75 + 40/42 is 514/525.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 42 is 1050

    Next, find the equivalent fraction of both fractional numbers with denominator 1050
  2. For the 1st fraction, since 75 × 14 = 1050,
    2/75 = 2 × 14/75 × 14 = 28/1050
  3. Likewise, for the 2nd fraction, since 42 × 25 = 1050,
    40/42 = 40 × 25/42 × 25 = 1000/1050
  4. Add the two like fractions:
    28/1050 + 1000/1050 = 28 + 1000/1050 = 1028/1050
  5. 1028/1050 simplified gives 514/525
  6. So, 2/75 + 40/42 = 514/525

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