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Add 21/75 and 9/42

21/75 + 9/42 is 173/350.

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,
    21/75 = 21 × 14/75 × 14 = 294/1050
  3. Likewise, for the 2nd fraction, since 42 × 25 = 1050,
    9/42 = 9 × 25/42 × 25 = 225/1050
  4. Add the two like fractions:
    294/1050 + 225/1050 = 294 + 225/1050 = 519/1050
  5. 519/1050 simplified gives 173/350
  6. So, 21/75 + 9/42 = 173/350

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