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Add 15/25 and 40/49

15/25 + 40/49 is 347/245.

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,
    15/25 = 15 × 49/25 × 49 = 735/1225
  3. Likewise, for the 2nd fraction, since 49 × 25 = 1225,
    40/49 = 40 × 25/49 × 25 = 1000/1225
  4. Add the two like fractions:
    735/1225 + 1000/1225 = 735 + 1000/1225 = 1735/1225
  5. 1735/1225 simplified gives 347/245
  6. So, 15/25 + 40/49 = 347/245
    In mixed form: 1102/245

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