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Add 20/9 and 36/16

1st number: 2 2/9, 2nd number: 2 4/16

20/9 + 36/16 is 161/36.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 9 and 16 is 144

    Next, find the equivalent fraction of both fractional numbers with denominator 144
  2. For the 1st fraction, since 9 × 16 = 144,
    20/9 = 20 × 16/9 × 16 = 320/144
  3. Likewise, for the 2nd fraction, since 16 × 9 = 144,
    36/16 = 36 × 9/16 × 9 = 324/144
  4. Add the two like fractions:
    320/144 + 324/144 = 320 + 324/144 = 644/144
  5. 644/144 simplified gives 161/36
  6. So, 20/9 + 36/16 = 161/36
    In mixed form: 417/36

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