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Add 10/16 and 8/9

10/16 + 8/9 is 109/72.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 144
  2. For the 1st fraction, since 16 × 9 = 144,
    10/16 = 10 × 9/16 × 9 = 90/144
  3. Likewise, for the 2nd fraction, since 9 × 16 = 144,
    8/9 = 8 × 16/9 × 16 = 128/144
  4. Add the two like fractions:
    90/144 + 128/144 = 90 + 128/144 = 218/144
  5. 218/144 simplified gives 109/72
  6. So, 10/16 + 8/9 = 109/72
    In mixed form: 137/72

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