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Add 12/42 and 30/49

12/42 + 30/49 is 44/49.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 49 is 294

    Next, find the equivalent fraction of both fractional numbers with denominator 294
  2. For the 1st fraction, since 42 × 7 = 294,
    12/42 = 12 × 7/42 × 7 = 84/294
  3. Likewise, for the 2nd fraction, since 49 × 6 = 294,
    30/49 = 30 × 6/49 × 6 = 180/294
  4. Add the two like fractions:
    84/294 + 180/294 = 84 + 180/294 = 264/294
  5. 264/294 simplified gives 44/49
  6. So, 12/42 + 30/49 = 44/49

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