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Add 64/3 and 7/84

1st number: 21 1/3, 2nd number: 7/84

64/3 + 7/84 is 257/12.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 3 and 84 is 84

    Next, find the equivalent fraction of both fractional numbers with denominator 84
  2. For the 1st fraction, since 3 × 28 = 84,
    64/3 = 64 × 28/3 × 28 = 1792/84
  3. Likewise, for the 2nd fraction, since 84 × 1 = 84,
    7/84 = 7 × 1/84 × 1 = 7/84
  4. Add the two like fractions:
    1792/84 + 7/84 = 1792 + 7/84 = 1799/84
  5. 1799/84 simplified gives 257/12
  6. So, 64/3 + 7/84 = 257/12
    In mixed form: 215/12

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