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Add 49/30 and 40/84

1st number: 1 19/30, 2nd number: 40/84

49/30 + 40/84 is 443/210.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 84 is 420

    Next, find the equivalent fraction of both fractional numbers with denominator 420
  2. For the 1st fraction, since 30 × 14 = 420,
    49/30 = 49 × 14/30 × 14 = 686/420
  3. Likewise, for the 2nd fraction, since 84 × 5 = 420,
    40/84 = 40 × 5/84 × 5 = 200/420
  4. Add the two like fractions:
    686/420 + 200/420 = 686 + 200/420 = 886/420
  5. 886/420 simplified gives 443/210
  6. So, 49/30 + 40/84 = 443/210
    In mixed form: 223/210

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