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Add 27/30 and 18/45

27/30 + 18/45 is 13/10.

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,
    18/45 = 18 × 2/45 × 2 = 36/90
  4. Add the two like fractions:
    81/90 + 36/90 = 81 + 36/90 = 117/90
  5. 117/90 simplified gives 13/10
  6. So, 27/30 + 18/45 = 13/10
    In mixed form: 13/10

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