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Add 30/75 and 4/84

30/75 + 4/84 is 47/105.

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,
    30/75 = 30 × 28/75 × 28 = 840/2100
  3. Likewise, for the 2nd fraction, since 84 × 25 = 2100,
    4/84 = 4 × 25/84 × 25 = 100/2100
  4. Add the two like fractions:
    840/2100 + 100/2100 = 840 + 100/2100 = 940/2100
  5. 940/2100 simplified gives 47/105
  6. So, 30/75 + 4/84 = 47/105

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