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Add 30/4 and 35/9

1st number: 7 2/4, 2nd number: 3 8/9

30/4 + 35/9 is 205/18.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 4 and 9 is 36

    Next, find the equivalent fraction of both fractional numbers with denominator 36
  2. For the 1st fraction, since 4 × 9 = 36,
    30/4 = 30 × 9/4 × 9 = 270/36
  3. Likewise, for the 2nd fraction, since 9 × 4 = 36,
    35/9 = 35 × 4/9 × 4 = 140/36
  4. Add the two like fractions:
    270/36 + 140/36 = 270 + 140/36 = 410/36
  5. 410/36 simplified gives 205/18
  6. So, 30/4 + 35/9 = 205/18
    In mixed form: 117/18

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