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Add 15/20 and 35/42

15/20 + 35/42 is 19/12.

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,
    15/20 = 15 × 21/20 × 21 = 315/420
  3. Likewise, for the 2nd fraction, since 42 × 10 = 420,
    35/42 = 35 × 10/42 × 10 = 350/420
  4. Add the two like fractions:
    315/420 + 350/420 = 315 + 350/420 = 665/420
  5. 665/420 simplified gives 19/12
  6. So, 15/20 + 35/42 = 19/12
    In mixed form: 17/12

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