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Add 4/84 and 35/75

4/84 + 35/75 is 18/35.

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,
    4/84 = 4 × 25/84 × 25 = 100/2100
  3. Likewise, for the 2nd fraction, since 75 × 28 = 2100,
    35/75 = 35 × 28/75 × 28 = 980/2100
  4. Add the two like fractions:
    100/2100 + 980/2100 = 100 + 980/2100 = 1080/2100
  5. 1080/2100 simplified gives 18/35
  6. So, 4/84 + 35/75 = 18/35

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