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Add 30/42 and 45/84

30/42 + 45/84 is 5/4.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 84 is 84

    Next, find the equivalent fraction of both fractional numbers with denominator 84
  2. For the 1st fraction, since 42 × 2 = 84,
    30/42 = 30 × 2/42 × 2 = 60/84
  3. Likewise, for the 2nd fraction, since 84 × 1 = 84,
    45/84 = 45 × 1/84 × 1 = 45/84
  4. Add the two like fractions:
    60/84 + 45/84 = 60 + 45/84 = 105/84
  5. 105/84 simplified gives 5/4
  6. So, 30/42 + 45/84 = 5/4
    In mixed form: 11/4

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