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Add 30/96 and 42/63

30/96 + 42/63 is 47/48.

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,
    42/63 = 42 × 32/63 × 32 = 1344/2016
  4. Add the two like fractions:
    630/2016 + 1344/2016 = 630 + 1344/2016 = 1974/2016
  5. 1974/2016 simplified gives 47/48
  6. So, 30/96 + 42/63 = 47/48

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