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Add 1/96 and 49/63

1/96 + 49/63 is 227/288.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 96 and 63 is 2016

    Next, find the equivalent fraction of both fractional numbers with denominator 2016
  2. For the 1st fraction, since 96 × 21 = 2016,
    1/96 = 1 × 21/96 × 21 = 21/2016
  3. Likewise, for the 2nd fraction, since 63 × 32 = 2016,
    49/63 = 49 × 32/63 × 32 = 1568/2016
  4. Add the two like fractions:
    21/2016 + 1568/2016 = 21 + 1568/2016 = 1589/2016
  5. 1589/2016 simplified gives 227/288
  6. So, 1/96 + 49/63 = 227/288

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