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Add 20/84 and 1/45

20/84 + 1/45 is 82/315.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 84 × 15 = 1260,
    20/84 = 20 × 15/84 × 15 = 300/1260
  3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
    1/45 = 1 × 28/45 × 28 = 28/1260
  4. Add the two like fractions:
    300/1260 + 28/1260 = 300 + 28/1260 = 328/1260
  5. 328/1260 simplified gives 82/315
  6. So, 20/84 + 1/45 = 82/315

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