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Add 49/96 and 21/63

49/96 + 21/63 is 27/32.

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,
    49/96 = 49 × 21/96 × 21 = 1029/2016
  3. Likewise, for the 2nd fraction, since 63 × 32 = 2016,
    21/63 = 21 × 32/63 × 32 = 672/2016
  4. Add the two like fractions:
    1029/2016 + 672/2016 = 1029 + 672/2016 = 1701/2016
  5. 1701/2016 simplified gives 27/32
  6. So, 49/96 + 21/63 = 27/32

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