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Add 5/25 and 30/49

5/25 + 30/49 is 199/245.

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,
    5/25 = 5 × 49/25 × 49 = 245/1225
  3. Likewise, for the 2nd fraction, since 49 × 25 = 1225,
    30/49 = 30 × 25/49 × 25 = 750/1225
  4. Add the two like fractions:
    245/1225 + 750/1225 = 245 + 750/1225 = 995/1225
  5. 995/1225 simplified gives 199/245
  6. So, 5/25 + 30/49 = 199/245

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