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Add 1/25 and 42/49

1/25 + 42/49 is 157/175.

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,
    1/25 = 1 × 49/25 × 49 = 49/1225
  3. Likewise, for the 2nd fraction, since 49 × 25 = 1225,
    42/49 = 42 × 25/49 × 25 = 1050/1225
  4. Add the two like fractions:
    49/1225 + 1050/1225 = 49 + 1050/1225 = 1099/1225
  5. 1099/1225 simplified gives 157/175
  6. So, 1/25 + 42/49 = 157/175

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