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Add 49/30 and 75/14

1st number: 1 19/30, 2nd number: 5 5/14

49/30 + 75/14 is 734/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 14 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 14 × 15 = 210,
    75/14 = 75 × 15/14 × 15 = 1125/210
  4. Add the two like fractions:
    343/210 + 1125/210 = 343 + 1125/210 = 1468/210
  5. 1468/210 simplified gives 734/105
  6. So, 49/30 + 75/14 = 734/105
    In mixed form: 6104/105

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