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Add 32/45 and 18/20

32/45 + 18/20 is 29/18.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 180
  2. For the 1st fraction, since 45 × 4 = 180,
    32/45 = 32 × 4/45 × 4 = 128/180
  3. Likewise, for the 2nd fraction, since 20 × 9 = 180,
    18/20 = 18 × 9/20 × 9 = 162/180
  4. Add the two like fractions:
    128/180 + 162/180 = 128 + 162/180 = 290/180
  5. 290/180 simplified gives 29/18
  6. So, 32/45 + 18/20 = 29/18
    In mixed form: 111/18

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