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Add 30/20 and 40/9

1st number: 1 10/20, 2nd number: 4 4/9

30/20 + 40/9 is 107/18.

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,
    30/20 = 30 × 9/20 × 9 = 270/180
  3. Likewise, for the 2nd fraction, since 9 × 20 = 180,
    40/9 = 40 × 20/9 × 20 = 800/180
  4. Add the two like fractions:
    270/180 + 800/180 = 270 + 800/180 = 1070/180
  5. 1070/180 simplified gives 107/18
  6. So, 30/20 + 40/9 = 107/18
    In mixed form: 517/18

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