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Add 10/75 and 12/35

10/75 + 12/35 is 10/21.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 35 is 525

    Next, find the equivalent fraction of both fractional numbers with denominator 525
  2. For the 1st fraction, since 75 × 7 = 525,
    10/75 = 10 × 7/75 × 7 = 70/525
  3. Likewise, for the 2nd fraction, since 35 × 15 = 525,
    12/35 = 12 × 15/35 × 15 = 180/525
  4. Add the two like fractions:
    70/525 + 180/525 = 70 + 180/525 = 250/525
  5. 250/525 simplified gives 10/21
  6. So, 10/75 + 12/35 = 10/21

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