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Add 21/42 and 42/75

21/42 + 42/75 is 53/50.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1050
  2. For the 1st fraction, since 42 × 25 = 1050,
    21/42 = 21 × 25/42 × 25 = 525/1050
  3. Likewise, for the 2nd fraction, since 75 × 14 = 1050,
    42/75 = 42 × 14/75 × 14 = 588/1050
  4. Add the two like fractions:
    525/1050 + 588/1050 = 525 + 588/1050 = 1113/1050
  5. 1113/1050 simplified gives 53/50
  6. So, 21/42 + 42/75 = 53/50
    In mixed form: 13/50

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