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Add 10/45 and 9/28

10/45 + 9/28 is 137/252.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 45 × 28 = 1260,
    10/45 = 10 × 28/45 × 28 = 280/1260
  3. Likewise, for the 2nd fraction, since 28 × 45 = 1260,
    9/28 = 9 × 45/28 × 45 = 405/1260
  4. Add the two like fractions:
    280/1260 + 405/1260 = 280 + 405/1260 = 685/1260
  5. 685/1260 simplified gives 137/252
  6. So, 10/45 + 9/28 = 137/252

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