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Add 7/2 and 10/75

1st number: 3 1/2, 2nd number: 10/75

7/2 + 10/75 is 109/30.

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,
    10/75 = 10 × 2/75 × 2 = 20/150
  4. Add the two like fractions:
    525/150 + 20/150 = 525 + 20/150 = 545/150
  5. 545/150 simplified gives 109/30
  6. So, 7/2 + 10/75 = 109/30
    In mixed form: 319/30

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