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Add 75/32 and 42/63

1st number: 2 11/32, 2nd number: 42/63

75/32 + 42/63 is 289/96.

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,
    75/32 = 75 × 63/32 × 63 = 4725/2016
  3. Likewise, for the 2nd fraction, since 63 × 32 = 2016,
    42/63 = 42 × 32/63 × 32 = 1344/2016
  4. Add the two like fractions:
    4725/2016 + 1344/2016 = 4725 + 1344/2016 = 6069/2016
  5. 6069/2016 simplified gives 289/96
  6. So, 75/32 + 42/63 = 289/96
    In mixed form: 31/96

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