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Add 3/84 and 30/75

3/84 + 30/75 is 61/140.

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,
    3/84 = 3 × 25/84 × 25 = 75/2100
  3. Likewise, for the 2nd fraction, since 75 × 28 = 2100,
    30/75 = 30 × 28/75 × 28 = 840/2100
  4. Add the two like fractions:
    75/2100 + 840/2100 = 75 + 840/2100 = 915/2100
  5. 915/2100 simplified gives 61/140
  6. So, 3/84 + 30/75 = 61/140

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