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Add 35/45 and 12/27

35/45 + 12/27 is 11/9.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 27 is 135

    Next, find the equivalent fraction of both fractional numbers with denominator 135
  2. For the 1st fraction, since 45 × 3 = 135,
    35/45 = 35 × 3/45 × 3 = 105/135
  3. Likewise, for the 2nd fraction, since 27 × 5 = 135,
    12/27 = 12 × 5/27 × 5 = 60/135
  4. Add the two like fractions:
    105/135 + 60/135 = 105 + 60/135 = 165/135
  5. 165/135 simplified gives 11/9
  6. So, 35/45 + 12/27 = 11/9
    In mixed form: 12/9

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