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Add 10/84 and 2/75

10/84 + 2/75 is 51/350.

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,
    10/84 = 10 × 25/84 × 25 = 250/2100
  3. Likewise, for the 2nd fraction, since 75 × 28 = 2100,
    2/75 = 2 × 28/75 × 28 = 56/2100
  4. Add the two like fractions:
    250/2100 + 56/2100 = 250 + 56/2100 = 306/2100
  5. 306/2100 simplified gives 51/350
  6. So, 10/84 + 2/75 = 51/350

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