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Add 27/45 and 21/28

27/45 + 21/28 is 27/20.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 28 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 45 × 28 = 1260,
    27/45 = 27 × 28/45 × 28 = 756/1260
  3. Likewise, for the 2nd fraction, since 28 × 45 = 1260,
    21/28 = 21 × 45/28 × 45 = 945/1260
  4. Add the two like fractions:
    756/1260 + 945/1260 = 756 + 945/1260 = 1701/1260
  5. 1701/1260 simplified gives 27/20
  6. So, 27/45 + 21/28 = 27/20
    In mixed form: 17/20

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