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Add 42/20 and 20/9

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

42/20 + 20/9 is 389/90.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 20 and 9 is 180

    Next, find the equivalent fraction of both fractional numbers with denominator 180
  2. For the 1st fraction, since 20 × 9 = 180,
    42/20 = 42 × 9/20 × 9 = 378/180
  3. Likewise, for the 2nd fraction, since 9 × 20 = 180,
    20/9 = 20 × 20/9 × 20 = 400/180
  4. Add the two like fractions:
    378/180 + 400/180 = 378 + 400/180 = 778/180
  5. 778/180 simplified gives 389/90
  6. So, 42/20 + 20/9 = 389/90
    In mixed form: 429/90

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