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Add 10/75 and 28/49

10/75 + 28/49 is 74/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 49 is 3675

    Next, find the equivalent fraction of both fractional numbers with denominator 3675
  2. For the 1st fraction, since 75 × 49 = 3675,
    10/75 = 10 × 49/75 × 49 = 490/3675
  3. Likewise, for the 2nd fraction, since 49 × 75 = 3675,
    28/49 = 28 × 75/49 × 75 = 2100/3675
  4. Add the two like fractions:
    490/3675 + 2100/3675 = 490 + 2100/3675 = 2590/3675
  5. 2590/3675 simplified gives 74/105
  6. So, 10/75 + 28/49 = 74/105

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