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Add 12/42 and 35/75

12/42 + 35/75 is 79/105.

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,
    12/42 = 12 × 25/42 × 25 = 300/1050
  3. Likewise, for the 2nd fraction, since 75 × 14 = 1050,
    35/75 = 35 × 14/75 × 14 = 490/1050
  4. Add the two like fractions:
    300/1050 + 490/1050 = 300 + 490/1050 = 790/1050
  5. 790/1050 simplified gives 79/105
  6. So, 12/42 + 35/75 = 79/105

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