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Add 35/75 and 3/84

35/75 + 3/84 is 211/420.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 2100
  2. For the 1st fraction, since 75 × 28 = 2100,
    35/75 = 35 × 28/75 × 28 = 980/2100
  3. Likewise, for the 2nd fraction, since 84 × 25 = 2100,
    3/84 = 3 × 25/84 × 25 = 75/2100
  4. Add the two like fractions:
    980/2100 + 75/2100 = 980 + 75/2100 = 1055/2100
  5. 1055/2100 simplified gives 211/420
  6. So, 35/75 + 3/84 = 211/420

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