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Add 6/30 and 35/75

6/30 + 35/75 is 2/3.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 75 is 150

    Next, find the equivalent fraction of both fractional numbers with denominator 150
  2. For the 1st fraction, since 30 × 5 = 150,
    6/30 = 6 × 5/30 × 5 = 30/150
  3. Likewise, for the 2nd fraction, since 75 × 2 = 150,
    35/75 = 35 × 2/75 × 2 = 70/150
  4. Add the two like fractions:
    30/150 + 70/150 = 30 + 70/150 = 100/150
  5. 100/150 simplified gives 2/3
  6. So, 6/30 + 35/75 = 2/3

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