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Add 70/75 and 1/42

70/75 + 1/42 is 67/70.

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,
    70/75 = 70 × 14/75 × 14 = 980/1050
  3. Likewise, for the 2nd fraction, since 42 × 25 = 1050,
    1/42 = 1 × 25/42 × 25 = 25/1050
  4. Add the two like fractions:
    980/1050 + 25/1050 = 980 + 25/1050 = 1005/1050
  5. 1005/1050 simplified gives 67/70
  6. So, 70/75 + 1/42 = 67/70

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