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Add 27/10 and 35/75

1st number: 2 7/10, 2nd number: 35/75

27/10 + 35/75 is 19/6.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 10 and 75 is 150

    Next, find the equivalent fraction of both fractional numbers with denominator 150
  2. For the 1st fraction, since 10 × 15 = 150,
    27/10 = 27 × 15/10 × 15 = 405/150
  3. Likewise, for the 2nd fraction, since 75 × 2 = 150,
    35/75 = 35 × 2/75 × 2 = 70/150
  4. Add the two like fractions:
    405/150 + 70/150 = 405 + 70/150 = 475/150
  5. 475/150 simplified gives 19/6
  6. So, 27/10 + 35/75 = 19/6
    In mixed form: 31/6

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