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Add 40/75 and 9/21

40/75 + 9/21 is 101/105.

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,
    40/75 = 40 × 7/75 × 7 = 280/525
  3. Likewise, for the 2nd fraction, since 21 × 25 = 525,
    9/21 = 9 × 25/21 × 25 = 225/525
  4. Add the two like fractions:
    280/525 + 225/525 = 280 + 225/525 = 505/525
  5. 505/525 simplified gives 101/105
  6. So, 40/75 + 9/21 = 101/105

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