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Add 5/2 and 10/75

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

5/2 + 10/75 is 79/30.

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,
    5/2 = 5 × 75/2 × 75 = 375/150
  3. Likewise, for the 2nd fraction, since 75 × 2 = 150,
    10/75 = 10 × 2/75 × 2 = 20/150
  4. Add the two like fractions:
    375/150 + 20/150 = 375 + 20/150 = 395/150
  5. 395/150 simplified gives 79/30
  6. So, 5/2 + 10/75 = 79/30
    In mixed form: 219/30

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