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Add 35/84 and 4/75

35/84 + 4/75 is 47/100.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 75 is 2100

    Next, find the equivalent fraction of both fractional numbers with denominator 2100
  2. For the 1st fraction, since 84 × 25 = 2100,
    35/84 = 35 × 25/84 × 25 = 875/2100
  3. Likewise, for the 2nd fraction, since 75 × 28 = 2100,
    4/75 = 4 × 28/75 × 28 = 112/2100
  4. Add the two like fractions:
    875/2100 + 112/2100 = 875 + 112/2100 = 987/2100
  5. 987/2100 simplified gives 47/100
  6. So, 35/84 + 4/75 = 47/100

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