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Add 40/9 and 12/16

1st number: 4 4/9, 2nd number: 12/16

40/9 + 12/16 is 187/36.

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,
    40/9 = 40 × 16/9 × 16 = 640/144
  3. Likewise, for the 2nd fraction, since 16 × 9 = 144,
    12/16 = 12 × 9/16 × 9 = 108/144
  4. Add the two like fractions:
    640/144 + 108/144 = 640 + 108/144 = 748/144
  5. 748/144 simplified gives 187/36
  6. So, 40/9 + 12/16 = 187/36
    In mixed form: 57/36

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