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Add 35/42 and 7/49

35/42 + 7/49 is 41/42.

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,
    35/42 = 35 × 7/42 × 7 = 245/294
  3. Likewise, for the 2nd fraction, since 49 × 6 = 294,
    7/49 = 7 × 6/49 × 6 = 42/294
  4. Add the two like fractions:
    245/294 + 42/294 = 245 + 42/294 = 287/294
  5. 287/294 simplified gives 41/42
  6. So, 35/42 + 7/49 = 41/42

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