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Add 3/45 and 21/84

3/45 + 21/84 is 19/60.

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,
    3/45 = 3 × 28/45 × 28 = 84/1260
  3. Likewise, for the 2nd fraction, since 84 × 15 = 1260,
    21/84 = 21 × 15/84 × 15 = 315/1260
  4. Add the two like fractions:
    84/1260 + 315/1260 = 84 + 315/1260 = 399/1260
  5. 399/1260 simplified gives 19/60
  6. So, 3/45 + 21/84 = 19/60

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