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Add 45/75 and 4/9

45/75 + 4/9 is 47/45.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 9 is 225

    Next, find the equivalent fraction of both fractional numbers with denominator 225
  2. For the 1st fraction, since 75 × 3 = 225,
    45/75 = 45 × 3/75 × 3 = 135/225
  3. Likewise, for the 2nd fraction, since 9 × 25 = 225,
    4/9 = 4 × 25/9 × 25 = 100/225
  4. Add the two like fractions:
    135/225 + 100/225 = 135 + 100/225 = 235/225
  5. 235/225 simplified gives 47/45
  6. So, 45/75 + 4/9 = 47/45
    In mixed form: 12/45

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