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Add 49/20 and 18/45

1st number: 2 9/20, 2nd number: 18/45

49/20 + 18/45 is 57/20.

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,
    49/20 = 49 × 9/20 × 9 = 441/180
  3. Likewise, for the 2nd fraction, since 45 × 4 = 180,
    18/45 = 18 × 4/45 × 4 = 72/180
  4. Add the two like fractions:
    441/180 + 72/180 = 441 + 72/180 = 513/180
  5. 513/180 simplified gives 57/20
  6. So, 49/20 + 18/45 = 57/20
    In mixed form: 217/20

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