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Add 1/49 and 28/64

1/49 + 28/64 is 359/784.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 64 is 3136

    Next, find the equivalent fraction of both fractional numbers with denominator 3136
  2. For the 1st fraction, since 49 × 64 = 3136,
    1/49 = 1 × 64/49 × 64 = 64/3136
  3. Likewise, for the 2nd fraction, since 64 × 49 = 3136,
    28/64 = 28 × 49/64 × 49 = 1372/3136
  4. Add the two like fractions:
    64/3136 + 1372/3136 = 64 + 1372/3136 = 1436/3136
  5. 1436/3136 simplified gives 359/784
  6. So, 1/49 + 28/64 = 359/784

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