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Add 30/42 and 7/49

30/42 + 7/49 is 6/7.

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,
    30/42 = 30 × 7/42 × 7 = 210/294
  3. Likewise, for the 2nd fraction, since 49 × 6 = 294,
    7/49 = 7 × 6/49 × 6 = 42/294
  4. Add the two like fractions:
    210/294 + 42/294 = 210 + 42/294 = 252/294
  5. 252/294 simplified gives 6/7
  6. So, 30/42 + 7/49 = 6/7

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