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Add 27/75 and 42/63

27/75 + 42/63 is 77/75.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1575
  2. For the 1st fraction, since 75 × 21 = 1575,
    27/75 = 27 × 21/75 × 21 = 567/1575
  3. Likewise, for the 2nd fraction, since 63 × 25 = 1575,
    42/63 = 42 × 25/63 × 25 = 1050/1575
  4. Add the two like fractions:
    567/1575 + 1050/1575 = 567 + 1050/1575 = 1617/1575
  5. 1617/1575 simplified gives 77/75
  6. So, 27/75 + 42/63 = 77/75
    In mixed form: 12/75

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