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Add 3/54 and 45/49

3/54 + 45/49 is 859/882.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 54 and 49 is 2646

    Next, find the equivalent fraction of both fractional numbers with denominator 2646
  2. For the 1st fraction, since 54 × 49 = 2646,
    3/54 = 3 × 49/54 × 49 = 147/2646
  3. Likewise, for the 2nd fraction, since 49 × 54 = 2646,
    45/49 = 45 × 54/49 × 54 = 2430/2646
  4. Add the two like fractions:
    147/2646 + 2430/2646 = 147 + 2430/2646 = 2577/2646
  5. 2577/2646 simplified gives 859/882
  6. So, 3/54 + 45/49 = 859/882

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