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Add 7/84 and 4/75

7/84 + 4/75 is 41/300.

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,
    7/84 = 7 × 25/84 × 25 = 175/2100
  3. Likewise, for the 2nd fraction, since 75 × 28 = 2100,
    4/75 = 4 × 28/75 × 28 = 112/2100
  4. Add the two like fractions:
    175/2100 + 112/2100 = 175 + 112/2100 = 287/2100
  5. 287/2100 simplified gives 41/300
  6. So, 7/84 + 4/75 = 41/300

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