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Add 4/5 and 5/9

4/5 + 5/9 is 61/45.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 5 and 9 is 45
  2. For the 1st fraction, since 5 × 9 = 45,
    4/5 = 4 × 9/5 × 9 = 36/45
  3. Likewise, for the 2nd fraction, since 9 × 5 = 45,
    5/9 = 5 × 5/9 × 5 = 25/45
  4. Add the two fractions:
    36/45 + 25/45 = 36 + 25/45 = 61/45
  5. In mixed form: 116/45

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