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Add 21/45 and 12/18

21/45 + 12/18 is 17/15.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 18 is 90
  2. For the 1st fraction, since 45 × 2 = 90,
    21/45 = 21 × 2/45 × 2 = 42/90
  3. Likewise, for the 2nd fraction, since 18 × 5 = 90,
    12/18 = 12 × 5/18 × 5 = 60/90
  4. Add the two fractions:
    42/90 + 60/90 = 42 + 60/90 = 102/90
  5. 102/90 simplified gives 17/15
  6. So, 21/45 + 12/18 = 17/15
    In mixed form: 12/15

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