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Add 27/42 and 10/75

27/42 + 10/75 is 163/210.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 75 is 1050

    Next, find the equivalent fraction of both fractional numbers with denominator 1050
  2. For the 1st fraction, since 42 × 25 = 1050,
    27/42 = 27 × 25/42 × 25 = 675/1050
  3. Likewise, for the 2nd fraction, since 75 × 14 = 1050,
    10/75 = 10 × 14/75 × 14 = 140/1050
  4. Add the two like fractions:
    675/1050 + 140/1050 = 675 + 140/1050 = 815/1050
  5. 815/1050 simplified gives 163/210
  6. So, 27/42 + 10/75 = 163/210

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