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Add 14/15 and 14/49

14/15 + 14/49 is 128/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 15 and 49 is 735

    Next, find the equivalent fraction of both fractional numbers with denominator 735
  2. For the 1st fraction, since 15 × 49 = 735,
    14/15 = 14 × 49/15 × 49 = 686/735
  3. Likewise, for the 2nd fraction, since 49 × 15 = 735,
    14/49 = 14 × 15/49 × 15 = 210/735
  4. Add the two like fractions:
    686/735 + 210/735 = 686 + 210/735 = 896/735
  5. 896/735 simplified gives 128/105
  6. So, 14/15 + 14/49 = 128/105
    In mixed form: 123/105

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