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Add 49/75 and 14/21

49/75 + 14/21 is 33/25.

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,
    49/75 = 49 × 7/75 × 7 = 343/525
  3. Likewise, for the 2nd fraction, since 21 × 25 = 525,
    14/21 = 14 × 25/21 × 25 = 350/525
  4. Add the two like fractions:
    343/525 + 350/525 = 343 + 350/525 = 693/525
  5. 693/525 simplified gives 33/25
  6. So, 49/75 + 14/21 = 33/25
    In mixed form: 18/25

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