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Add 12/20 and 30/42

12/20 + 30/42 is 46/35.

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,
    12/20 = 12 × 21/20 × 21 = 252/420
  3. Likewise, for the 2nd fraction, since 42 × 10 = 420,
    30/42 = 30 × 10/42 × 10 = 300/420
  4. Add the two like fractions:
    252/420 + 300/420 = 252 + 300/420 = 552/420
  5. 552/420 simplified gives 46/35
  6. So, 12/20 + 30/42 = 46/35
    In mixed form: 111/35

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