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Add 16/45 and 40/96

16/45 + 40/96 is 139/180.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 96 is 1440

    Next, find the equivalent fraction of both fractional numbers with denominator 1440
  2. For the 1st fraction, since 45 × 32 = 1440,
    16/45 = 16 × 32/45 × 32 = 512/1440
  3. Likewise, for the 2nd fraction, since 96 × 15 = 1440,
    40/96 = 40 × 15/96 × 15 = 600/1440
  4. Add the two like fractions:
    512/1440 + 600/1440 = 512 + 600/1440 = 1112/1440
  5. 1112/1440 simplified gives 139/180
  6. So, 16/45 + 40/96 = 139/180

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