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Add 20/75 and 2/21

20/75 + 2/21 is 38/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 21 is 525

    Next, find the equivalent fraction of both fractional numbers with denominator 525
  2. For the 1st fraction, since 75 × 7 = 525,
    20/75 = 20 × 7/75 × 7 = 140/525
  3. Likewise, for the 2nd fraction, since 21 × 25 = 525,
    2/21 = 2 × 25/21 × 25 = 50/525
  4. Add the two like fractions:
    140/525 + 50/525 = 140 + 50/525 = 190/525
  5. 190/525 simplified gives 38/105
  6. So, 20/75 + 2/21 = 38/105

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