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Add 30/27 and 40/9

1st number: 1 3/27, 2nd number: 4 4/9

30/27 + 40/9 is 50/9.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 9 is 27

    Next, find the equivalent fraction of both fractional numbers with denominator 27
  2. For the 1st fraction, since 27 × 1 = 27,
    30/27 = 30 × 1/27 × 1 = 30/27
  3. Likewise, for the 2nd fraction, since 9 × 3 = 27,
    40/9 = 40 × 3/9 × 3 = 120/27
  4. Add the two like fractions:
    30/27 + 120/27 = 30 + 120/27 = 150/27
  5. 150/27 simplified gives 50/9
  6. So, 30/27 + 40/9 = 50/9
    In mixed form: 55/9

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