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Add 7/25 and 14/49

7/25 + 14/49 is 99/175.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 25 and 49 is 1225

    Next, find the equivalent fraction of both fractional numbers with denominator 1225
  2. For the 1st fraction, since 25 × 49 = 1225,
    7/25 = 7 × 49/25 × 49 = 343/1225
  3. Likewise, for the 2nd fraction, since 49 × 25 = 1225,
    14/49 = 14 × 25/49 × 25 = 350/1225
  4. Add the two like fractions:
    343/1225 + 350/1225 = 343 + 350/1225 = 693/1225
  5. 693/1225 simplified gives 99/175
  6. So, 7/25 + 14/49 = 99/175

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