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Add 30/96 and 40/63

30/96 + 40/63 is 955/1008.

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,
    30/96 = 30 × 21/96 × 21 = 630/2016
  3. Likewise, for the 2nd fraction, since 63 × 32 = 2016,
    40/63 = 40 × 32/63 × 32 = 1280/2016
  4. Add the two like fractions:
    630/2016 + 1280/2016 = 630 + 1280/2016 = 1910/2016
  5. 1910/2016 simplified gives 955/1008
  6. So, 30/96 + 40/63 = 955/1008

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