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Add 4/28 and 21/45

4/28 + 21/45 is 64/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 28 and 45 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 28 × 45 = 1260,
    4/28 = 4 × 45/28 × 45 = 180/1260
  3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
    21/45 = 21 × 28/45 × 28 = 588/1260
  4. Add the two like fractions:
    180/1260 + 588/1260 = 180 + 588/1260 = 768/1260
  5. 768/1260 simplified gives 64/105
  6. So, 4/28 + 21/45 = 64/105

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