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Add 27/63 and 36/75

27/63 + 36/75 is 159/175.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 63 and 75 is 1575

    Next, find the equivalent fraction of both fractional numbers with denominator 1575
  2. For the 1st fraction, since 63 × 25 = 1575,
    27/63 = 27 × 25/63 × 25 = 675/1575
  3. Likewise, for the 2nd fraction, since 75 × 21 = 1575,
    36/75 = 36 × 21/75 × 21 = 756/1575
  4. Add the two like fractions:
    675/1575 + 756/1575 = 675 + 756/1575 = 1431/1575
  5. 1431/1575 simplified gives 159/175
  6. So, 27/63 + 36/75 = 159/175

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