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Add 30/84 and 98/75

1st number: 30/84, 2nd number: 1 23/75

30/84 + 98/75 is 1747/1050.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 75 is 2100

    Next, find the equivalent fraction of both fractional numbers with denominator 2100
  2. For the 1st fraction, since 84 × 25 = 2100,
    30/84 = 30 × 25/84 × 25 = 750/2100
  3. Likewise, for the 2nd fraction, since 75 × 28 = 2100,
    98/75 = 98 × 28/75 × 28 = 2744/2100
  4. Add the two like fractions:
    750/2100 + 2744/2100 = 750 + 2744/2100 = 3494/2100
  5. 3494/2100 simplified gives 1747/1050
  6. So, 30/84 + 98/75 = 1747/1050
    In mixed form: 1697/1050

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