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Add 10/12 and 28/49

10/12 + 28/49 is 59/42.

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,
    10/12 = 10 × 49/12 × 49 = 490/588
  3. Likewise, for the 2nd fraction, since 49 × 12 = 588,
    28/49 = 28 × 12/49 × 12 = 336/588
  4. Add the two like fractions:
    490/588 + 336/588 = 490 + 336/588 = 826/588
  5. 826/588 simplified gives 59/42
  6. So, 10/12 + 28/49 = 59/42
    In mixed form: 117/42

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