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Add 12/15 and 40/42

12/15 + 40/42 is 184/105.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 15 × 14 = 210,
    12/15 = 12 × 14/15 × 14 = 168/210
  3. Likewise, for the 2nd fraction, since 42 × 5 = 210,
    40/42 = 40 × 5/42 × 5 = 200/210
  4. Add the two like fractions:
    168/210 + 200/210 = 168 + 200/210 = 368/210
  5. 368/210 simplified gives 184/105
  6. So, 12/15 + 40/42 = 184/105
    In mixed form: 179/105

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