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Add 30/42 and 2/5

30/42 + 2/5 is 39/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 5 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 42 × 5 = 210,
    30/42 = 30 × 5/42 × 5 = 150/210
  3. Likewise, for the 2nd fraction, since 5 × 42 = 210,
    2/5 = 2 × 42/5 × 42 = 84/210
  4. Add the two like fractions:
    150/210 + 84/210 = 150 + 84/210 = 234/210
  5. 234/210 simplified gives 39/35
  6. So, 30/42 + 2/5 = 39/35
    In mixed form: 14/35

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