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Add 8/28 and 30/45

8/28 + 30/45 is 20/21.

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,
    8/28 = 8 × 45/28 × 45 = 360/1260
  3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
    30/45 = 30 × 28/45 × 28 = 840/1260
  4. Add the two like fractions:
    360/1260 + 840/1260 = 360 + 840/1260 = 1200/1260
  5. 1200/1260 simplified gives 20/21
  6. So, 8/28 + 30/45 = 20/21

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