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Add 27/75 and 42/70

27/75 + 42/70 is 24/25.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 70 is 1050

    Next, find the equivalent fraction of both fractional numbers with denominator 1050
  2. For the 1st fraction, since 75 × 14 = 1050,
    27/75 = 27 × 14/75 × 14 = 378/1050
  3. Likewise, for the 2nd fraction, since 70 × 15 = 1050,
    42/70 = 42 × 15/70 × 15 = 630/1050
  4. Add the two like fractions:
    378/1050 + 630/1050 = 378 + 630/1050 = 1008/1050
  5. 1008/1050 simplified gives 24/25
  6. So, 27/75 + 42/70 = 24/25

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