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Add 40/98 and 30/42

40/98 + 30/42 is 55/49.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 98 and 42 is 294

    Next, find the equivalent fraction of both fractional numbers with denominator 294
  2. For the 1st fraction, since 98 × 3 = 294,
    40/98 = 40 × 3/98 × 3 = 120/294
  3. Likewise, for the 2nd fraction, since 42 × 7 = 294,
    30/42 = 30 × 7/42 × 7 = 210/294
  4. Add the two like fractions:
    120/294 + 210/294 = 120 + 210/294 = 330/294
  5. 330/294 simplified gives 55/49
  6. So, 40/98 + 30/42 = 55/49
    In mixed form: 16/49

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