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Add 3/12 and 27/45

3/12 + 27/45 is 17/20.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 12 and 45 is 180

    Next, find the equivalent fraction of both fractional numbers with denominator 180
  2. For the 1st fraction, since 12 × 15 = 180,
    3/12 = 3 × 15/12 × 15 = 45/180
  3. Likewise, for the 2nd fraction, since 45 × 4 = 180,
    27/45 = 27 × 4/45 × 4 = 108/180
  4. Add the two like fractions:
    45/180 + 108/180 = 45 + 108/180 = 153/180
  5. 153/180 simplified gives 17/20
  6. So, 3/12 + 27/45 = 17/20

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