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Add 1/96 and 35/45

1/96 + 35/45 is 227/288.

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,
    1/96 = 1 × 15/96 × 15 = 15/1440
  3. Likewise, for the 2nd fraction, since 45 × 32 = 1440,
    35/45 = 35 × 32/45 × 32 = 1120/1440
  4. Add the two like fractions:
    15/1440 + 1120/1440 = 15 + 1120/1440 = 1135/1440
  5. 1135/1440 simplified gives 227/288
  6. So, 1/96 + 35/45 = 227/288

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