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Add 75/45 and 20/9

1st number: 1 30/45, 2nd number: 2 2/9

75/45 + 20/9 is 35/9.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 45
  2. For the 1st fraction, since 45 × 1 = 45,
    75/45 = 75 × 1/45 × 1 = 75/45
  3. Likewise, for the 2nd fraction, since 9 × 5 = 45,
    20/9 = 20 × 5/9 × 5 = 100/45
  4. Add the two like fractions:
    75/45 + 100/45 = 75 + 100/45 = 175/45
  5. 175/45 simplified gives 35/9
  6. So, 75/45 + 20/9 = 35/9
    In mixed form: 38/9

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