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Add 35/90 and 49/96

35/90 + 49/96 is 259/288.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 90 and 96 is 1440

    Next, find the equivalent fraction of both fractional numbers with denominator 1440
  2. For the 1st fraction, since 90 × 16 = 1440,
    35/90 = 35 × 16/90 × 16 = 560/1440
  3. Likewise, for the 2nd fraction, since 96 × 15 = 1440,
    49/96 = 49 × 15/96 × 15 = 735/1440
  4. Add the two like fractions:
    560/1440 + 735/1440 = 560 + 735/1440 = 1295/1440
  5. 1295/1440 simplified gives 259/288
  6. So, 35/90 + 49/96 = 259/288

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