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Add 36/75 and 27/42

36/75 + 27/42 is 393/350.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1050
  2. For the 1st fraction, since 75 × 14 = 1050,
    36/75 = 36 × 14/75 × 14 = 504/1050
  3. Likewise, for the 2nd fraction, since 42 × 25 = 1050,
    27/42 = 27 × 25/42 × 25 = 675/1050
  4. Add the two like fractions:
    504/1050 + 675/1050 = 504 + 675/1050 = 1179/1050
  5. 1179/1050 simplified gives 393/350
  6. So, 36/75 + 27/42 = 393/350
    In mixed form: 143/350

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