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Add 10/25 and 25/49

10/25 + 25/49 is 223/245.

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,
    10/25 = 10 × 49/25 × 49 = 490/1225
  3. Likewise, for the 2nd fraction, since 49 × 25 = 1225,
    25/49 = 25 × 25/49 × 25 = 625/1225
  4. Add the two like fractions:
    490/1225 + 625/1225 = 490 + 625/1225 = 1115/1225
  5. 1115/1225 simplified gives 223/245
  6. So, 10/25 + 25/49 = 223/245

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