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Add 7/2 and 35/75

1st number: 3 1/2, 2nd number: 35/75

7/2 + 35/75 is 119/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 2 and 75 is 150

    Next, find the equivalent fraction of both fractional numbers with denominator 150
  2. For the 1st fraction, since 2 × 75 = 150,
    7/2 = 7 × 75/2 × 75 = 525/150
  3. Likewise, for the 2nd fraction, since 75 × 2 = 150,
    35/75 = 35 × 2/75 × 2 = 70/150
  4. Add the two like fractions:
    525/150 + 70/150 = 525 + 70/150 = 595/150
  5. 595/150 simplified gives 119/30
  6. So, 7/2 + 35/75 = 119/30
    In mixed form: 329/30

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