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Add 3/35 and 40/42

3/35 + 40/42 is 109/105.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 35 × 6 = 210,
    3/35 = 3 × 6/35 × 6 = 18/210
  3. Likewise, for the 2nd fraction, since 42 × 5 = 210,
    40/42 = 40 × 5/42 × 5 = 200/210
  4. Add the two like fractions:
    18/210 + 200/210 = 18 + 200/210 = 218/210
  5. 218/210 simplified gives 109/105
  6. So, 3/35 + 40/42 = 109/105
    In mixed form: 14/105

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