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Add 75/32 and 30/84

1st number: 2 11/32, 2nd number: 30/84

75/32 + 30/84 is 605/224.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 32 and 84 is 672

    Next, find the equivalent fraction of both fractional numbers with denominator 672
  2. For the 1st fraction, since 32 × 21 = 672,
    75/32 = 75 × 21/32 × 21 = 1575/672
  3. Likewise, for the 2nd fraction, since 84 × 8 = 672,
    30/84 = 30 × 8/84 × 8 = 240/672
  4. Add the two like fractions:
    1575/672 + 240/672 = 1575 + 240/672 = 1815/672
  5. 1815/672 simplified gives 605/224
  6. So, 75/32 + 30/84 = 605/224
    In mixed form: 2157/224

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