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Add 30/21 and 75/16

1st number: 1 9/21, 2nd number: 4 11/16

30/21 + 75/16 is 685/112.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 16 is 336

    Next, find the equivalent fraction of both fractional numbers with denominator 336
  2. For the 1st fraction, since 21 × 16 = 336,
    30/21 = 30 × 16/21 × 16 = 480/336
  3. Likewise, for the 2nd fraction, since 16 × 21 = 336,
    75/16 = 75 × 21/16 × 21 = 1575/336
  4. Add the two like fractions:
    480/336 + 1575/336 = 480 + 1575/336 = 2055/336
  5. 2055/336 simplified gives 685/112
  6. So, 30/21 + 75/16 = 685/112
    In mixed form: 613/112

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