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Add 75/16 and 30/42

1st number: 4 11/16, 2nd number: 30/42

75/16 + 30/42 is 605/112.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 16 and 42 is 336

    Next, find the equivalent fraction of both fractional numbers with denominator 336
  2. For the 1st fraction, since 16 × 21 = 336,
    75/16 = 75 × 21/16 × 21 = 1575/336
  3. Likewise, for the 2nd fraction, since 42 × 8 = 336,
    30/42 = 30 × 8/42 × 8 = 240/336
  4. Add the two like fractions:
    1575/336 + 240/336 = 1575 + 240/336 = 1815/336
  5. 1815/336 simplified gives 605/112
  6. So, 75/16 + 30/42 = 605/112
    In mixed form: 545/112

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