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Add 40/42 and 2/15

40/42 + 2/15 is 38/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 15 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 42 × 5 = 210,
    40/42 = 40 × 5/42 × 5 = 200/210
  3. Likewise, for the 2nd fraction, since 15 × 14 = 210,
    2/15 = 2 × 14/15 × 14 = 28/210
  4. Add the two like fractions:
    200/210 + 28/210 = 200 + 28/210 = 228/210
  5. 228/210 simplified gives 38/35
  6. So, 40/42 + 2/15 = 38/35
    In mixed form: 13/35

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