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Add 75/96 and 5/45

75/96 + 5/45 is 257/288.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1440
  2. For the 1st fraction, since 96 × 15 = 1440,
    75/96 = 75 × 15/96 × 15 = 1125/1440
  3. Likewise, for the 2nd fraction, since 45 × 32 = 1440,
    5/45 = 5 × 32/45 × 32 = 160/1440
  4. Add the two like fractions:
    1125/1440 + 160/1440 = 1125 + 160/1440 = 1285/1440
  5. 1285/1440 simplified gives 257/288
  6. So, 75/96 + 5/45 = 257/288

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