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Add 8/75 and 21/42

8/75 + 21/42 is 91/150.

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,
    8/75 = 8 × 14/75 × 14 = 112/1050
  3. Likewise, for the 2nd fraction, since 42 × 25 = 1050,
    21/42 = 21 × 25/42 × 25 = 525/1050
  4. Add the two like fractions:
    112/1050 + 525/1050 = 112 + 525/1050 = 637/1050
  5. 637/1050 simplified gives 91/150
  6. So, 8/75 + 21/42 = 91/150

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