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Add 27/42 and 40/49

27/42 + 40/49 is 143/98.

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,
    27/42 = 27 × 7/42 × 7 = 189/294
  3. Likewise, for the 2nd fraction, since 49 × 6 = 294,
    40/49 = 40 × 6/49 × 6 = 240/294
  4. Add the two like fractions:
    189/294 + 240/294 = 189 + 240/294 = 429/294
  5. 429/294 simplified gives 143/98
  6. So, 27/42 + 40/49 = 143/98
    In mixed form: 145/98

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