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Add 4/9 and 35/45

4/9 + 35/45 is 11/9.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 9 and 45 is 45

    Next, find the equivalent fraction of both fractional numbers with denominator 45
  2. For the 1st fraction, since 9 × 5 = 45,
    4/9 = 4 × 5/9 × 5 = 20/45
  3. Likewise, for the 2nd fraction, since 45 × 1 = 45,
    35/45 = 35 × 1/45 × 1 = 35/45
  4. Add the two like fractions:
    20/45 + 35/45 = 20 + 35/45 = 55/45
  5. 55/45 simplified gives 11/9
  6. So, 4/9 + 35/45 = 11/9
    In mixed form: 12/9

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