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Add 40/12 and 35/84

1st number: 3 4/12, 2nd number: 35/84

40/12 + 35/84 is 15/4.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 12 and 84 is 84
  2. For the 1st fraction, since 12 × 7 = 84,
    40/12 = 40 × 7/12 × 7 = 280/84
  3. Likewise, for the 2nd fraction, since 84 × 1 = 84,
    35/84 = 35 × 1/84 × 1 = 35/84
  4. Add the two fractions:
    280/84 + 35/84 = 280 + 35/84 = 315/84
  5. 315/84 simplified gives 15/4
  6. So, 40/12 + 35/84 = 15/4
    In mixed form: 33/4

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