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Add 21/20 and 75/42

1st number: 1 1/20, 2nd number: 1 33/42

21/20 + 75/42 is 397/140.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 20 and 42 is 420

    Next, find the equivalent fraction of both fractional numbers with denominator 420
  2. For the 1st fraction, since 20 × 21 = 420,
    21/20 = 21 × 21/20 × 21 = 441/420
  3. Likewise, for the 2nd fraction, since 42 × 10 = 420,
    75/42 = 75 × 10/42 × 10 = 750/420
  4. Add the two like fractions:
    441/420 + 750/420 = 441 + 750/420 = 1191/420
  5. 1191/420 simplified gives 397/140
  6. So, 21/20 + 75/42 = 397/140
    In mixed form: 2117/140

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