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Add 4/84 and 10/75

4/84 + 10/75 is 19/105.

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,
    10/75 = 10 × 28/75 × 28 = 280/2100
  4. Add the two like fractions:
    100/2100 + 280/2100 = 100 + 280/2100 = 380/2100
  5. 380/2100 simplified gives 19/105
  6. So, 4/84 + 10/75 = 19/105

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