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Add 8/3 and 30/42

1st number: 2 2/3, 2nd number: 30/42

8/3 + 30/42 is 71/21.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 3 and 42 is 42

    Next, find the equivalent fraction of both fractional numbers with denominator 42
  2. For the 1st fraction, since 3 × 14 = 42,
    8/3 = 8 × 14/3 × 14 = 112/42
  3. Likewise, for the 2nd fraction, since 42 × 1 = 42,
    30/42 = 30 × 1/42 × 1 = 30/42
  4. Add the two like fractions:
    112/42 + 30/42 = 112 + 30/42 = 142/42
  5. 142/42 simplified gives 71/21
  6. So, 8/3 + 30/42 = 71/21
    In mixed form: 38/21

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