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Add 30/8 and 40/42

1st number: 3 6/8, 2nd number: 40/42

30/8 + 40/42 is 395/84.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 8 and 42 is 168
  2. For the 1st fraction, since 8 × 21 = 168,
    30/8 = 30 × 21/8 × 21 = 630/168
  3. Likewise, for the 2nd fraction, since 42 × 4 = 168,
    40/42 = 40 × 4/42 × 4 = 160/168
  4. Add the two fractions:
    630/168 + 160/168 = 630 + 160/168 = 790/168
  5. 790/168 simplified gives 395/84
  6. So, 30/8 + 40/42 = 395/84
    In mixed form: 459/84

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