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Add 49/75 and 35/42

49/75 + 35/42 is 223/150.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 42 is 1050

    Next, find the equivalent fraction of both fractional numbers with denominator 1050
  2. For the 1st fraction, since 75 × 14 = 1050,
    49/75 = 49 × 14/75 × 14 = 686/1050
  3. Likewise, for the 2nd fraction, since 42 × 25 = 1050,
    35/42 = 35 × 25/42 × 25 = 875/1050
  4. Add the two like fractions:
    686/1050 + 875/1050 = 686 + 875/1050 = 1561/1050
  5. 1561/1050 simplified gives 223/150
  6. So, 49/75 + 35/42 = 223/150
    In mixed form: 173/150

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