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Add 1/45 and 54/84

1/45 + 54/84 is 419/630.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 84 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 45 × 28 = 1260,
    1/45 = 1 × 28/45 × 28 = 28/1260
  3. Likewise, for the 2nd fraction, since 84 × 15 = 1260,
    54/84 = 54 × 15/84 × 15 = 810/1260
  4. Add the two like fractions:
    28/1260 + 810/1260 = 28 + 810/1260 = 838/1260
  5. 838/1260 simplified gives 419/630
  6. So, 1/45 + 54/84 = 419/630

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