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Add 3/35 and 10/42

3/35 + 10/42 is 34/105.

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,
    10/42 = 10 × 5/42 × 5 = 50/210
  4. Add the two like fractions:
    18/210 + 50/210 = 18 + 50/210 = 68/210
  5. 68/210 simplified gives 34/105
  6. So, 3/35 + 10/42 = 34/105

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