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Add 3/42 and 30/35

3/42 + 30/35 is 13/14.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 35 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 42 × 5 = 210,
    3/42 = 3 × 5/42 × 5 = 15/210
  3. Likewise, for the 2nd fraction, since 35 × 6 = 210,
    30/35 = 30 × 6/35 × 6 = 180/210
  4. Add the two like fractions:
    15/210 + 180/210 = 15 + 180/210 = 195/210
  5. 195/210 simplified gives 13/14
  6. So, 3/42 + 30/35 = 13/14

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