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Add 35/42 and 1/75

35/42 + 1/75 is 127/150.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1050
  2. For the 1st fraction, since 42 × 25 = 1050,
    35/42 = 35 × 25/42 × 25 = 875/1050
  3. Likewise, for the 2nd fraction, since 75 × 14 = 1050,
    1/75 = 1 × 14/75 × 14 = 14/1050
  4. Add the two like fractions:
    875/1050 + 14/1050 = 875 + 14/1050 = 889/1050
  5. 889/1050 simplified gives 127/150
  6. So, 35/42 + 1/75 = 127/150

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