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Add 40/9 and 72/16

1st number: 4 4/9, 2nd number: 4 8/16

40/9 + 72/16 is 161/18.

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,
    72/16 = 72 × 9/16 × 9 = 648/144
  4. Add the two like fractions:
    640/144 + 648/144 = 640 + 648/144 = 1288/144
  5. 1288/144 simplified gives 161/18
  6. So, 40/9 + 72/16 = 161/18
    In mixed form: 817/18

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