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Add 27/30 and 2/45

27/30 + 2/45 is 17/18.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 45 is 90

    Next, find the equivalent fraction of both fractional numbers with denominator 90
  2. For the 1st fraction, since 30 × 3 = 90,
    27/30 = 27 × 3/30 × 3 = 81/90
  3. Likewise, for the 2nd fraction, since 45 × 2 = 90,
    2/45 = 2 × 2/45 × 2 = 4/90
  4. Add the two like fractions:
    81/90 + 4/90 = 81 + 4/90 = 85/90
  5. 85/90 simplified gives 17/18
  6. So, 27/30 + 2/45 = 17/18

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