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Add 49/84 and 8/75

49/84 + 8/75 is 69/100.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 75 is 2100

    Next, find the equivalent fraction of both fractional numbers with denominator 2100
  2. For the 1st fraction, since 84 × 25 = 2100,
    49/84 = 49 × 25/84 × 25 = 1225/2100
  3. Likewise, for the 2nd fraction, since 75 × 28 = 2100,
    8/75 = 8 × 28/75 × 28 = 224/2100
  4. Add the two like fractions:
    1225/2100 + 224/2100 = 1225 + 224/2100 = 1449/2100
  5. 1449/2100 simplified gives 69/100
  6. So, 49/84 + 8/75 = 69/100

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