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Add 9/12 and 40/49

9/12 + 40/49 is 307/196.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 12 and 49 is 588

    Next, find the equivalent fraction of both fractional numbers with denominator 588
  2. For the 1st fraction, since 12 × 49 = 588,
    9/12 = 9 × 49/12 × 49 = 441/588
  3. Likewise, for the 2nd fraction, since 49 × 12 = 588,
    40/49 = 40 × 12/49 × 12 = 480/588
  4. Add the two like fractions:
    441/588 + 480/588 = 441 + 480/588 = 921/588
  5. 921/588 simplified gives 307/196
  6. So, 9/12 + 40/49 = 307/196
    In mixed form: 1111/196

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