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Add 18/20 and 20/45

18/20 + 20/45 is 121/90.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 20 and 45 is 180

    Next, find the equivalent fraction of both fractional numbers with denominator 180
  2. For the 1st fraction, since 20 × 9 = 180,
    18/20 = 18 × 9/20 × 9 = 162/180
  3. Likewise, for the 2nd fraction, since 45 × 4 = 180,
    20/45 = 20 × 4/45 × 4 = 80/180
  4. Add the two like fractions:
    162/180 + 80/180 = 162 + 80/180 = 242/180
  5. 242/180 simplified gives 121/90
  6. So, 18/20 + 20/45 = 121/90
    In mixed form: 131/90

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