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Add 27/84 and 40/49

27/84 + 40/49 is 223/196.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 49 is 588

    Next, find the equivalent fraction of both fractional numbers with denominator 588
  2. For the 1st fraction, since 84 × 7 = 588,
    27/84 = 27 × 7/84 × 7 = 189/588
  3. Likewise, for the 2nd fraction, since 49 × 12 = 588,
    40/49 = 40 × 12/49 × 12 = 480/588
  4. Add the two like fractions:
    189/588 + 480/588 = 189 + 480/588 = 669/588
  5. 669/588 simplified gives 223/196
  6. So, 27/84 + 40/49 = 223/196
    In mixed form: 127/196

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