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Add 30/75 and 4/42

30/75 + 4/42 is 52/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 42 is 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,
    4/42 = 4 × 25/42 × 25 = 100/1050
  4. Add the two fractions:
    420/1050 + 100/1050 = 420 + 100/1050 = 520/1050
  5. 520/1050 simplified gives 52/105
  6. So, 30/75 + 4/42 = 52/105

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