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Add 30/75 and 5/42

30/75 + 5/42 is 109/210.

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,
    30/75 = 30 × 14/75 × 14 = 420/1050
  3. Likewise, for the 2nd fraction, since 42 × 25 = 1050,
    5/42 = 5 × 25/42 × 25 = 125/1050
  4. Add the two like fractions:
    420/1050 + 125/1050 = 420 + 125/1050 = 545/1050
  5. 545/1050 simplified gives 109/210
  6. So, 30/75 + 5/42 = 109/210

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