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Add 14/15 and 7/49

14/15 + 7/49 is 113/105.

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,
    7/49 = 7 × 15/49 × 15 = 105/735
  4. Add the two like fractions:
    686/735 + 105/735 = 686 + 105/735 = 791/735
  5. 791/735 simplified gives 113/105
  6. So, 14/15 + 7/49 = 113/105
    In mixed form: 18/105

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