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Add 27/30 and 3/42

27/30 + 3/42 is 34/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 42 is 210
  2. For the 1st fraction, since 30 × 7 = 210,
    27/30 = 27 × 7/30 × 7 = 189/210
  3. Likewise, for the 2nd fraction, since 42 × 5 = 210,
    3/42 = 3 × 5/42 × 5 = 15/210
  4. Add the two fractions:
    189/210 + 15/210 = 189 + 15/210 = 204/210
  5. 204/210 simplified gives 34/35
  6. So, 27/30 + 3/42 = 34/35

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