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Add 27/42 and 15/45

27/42 + 15/45 is 41/42.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 45 is 630

    Next, find the equivalent fraction of both fractional numbers with denominator 630
  2. For the 1st fraction, since 42 × 15 = 630,
    27/42 = 27 × 15/42 × 15 = 405/630
  3. Likewise, for the 2nd fraction, since 45 × 14 = 630,
    15/45 = 15 × 14/45 × 14 = 210/630
  4. Add the two like fractions:
    405/630 + 210/630 = 405 + 210/630 = 615/630
  5. 615/630 simplified gives 41/42
  6. So, 27/42 + 15/45 = 41/42

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