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Add 30/32 and 40/63

30/32 + 40/63 is 1585/1008.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 32 and 63 is 2016

    Next, find the equivalent fraction of both fractional numbers with denominator 2016
  2. For the 1st fraction, since 32 × 63 = 2016,
    30/32 = 30 × 63/32 × 63 = 1890/2016
  3. Likewise, for the 2nd fraction, since 63 × 32 = 2016,
    40/63 = 40 × 32/63 × 32 = 1280/2016
  4. Add the two like fractions:
    1890/2016 + 1280/2016 = 1890 + 1280/2016 = 3170/2016
  5. 3170/2016 simplified gives 1585/1008
  6. So, 30/32 + 40/63 = 1585/1008
    In mixed form: 1577/1008

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