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Add 49/30 and 14/21

1st number: 1 19/30, 2nd number: 14/21

49/30 + 14/21 is 23/10.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 21 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 30 × 7 = 210,
    49/30 = 49 × 7/30 × 7 = 343/210
  3. Likewise, for the 2nd fraction, since 21 × 10 = 210,
    14/21 = 14 × 10/21 × 10 = 140/210
  4. Add the two like fractions:
    343/210 + 140/210 = 343 + 140/210 = 483/210
  5. 483/210 simplified gives 23/10
  6. So, 49/30 + 14/21 = 23/10
    In mixed form: 23/10

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