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Add 48/75 and 49/84

48/75 + 49/84 is 367/300.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 2100
  2. For the 1st fraction, since 75 × 28 = 2100,
    48/75 = 48 × 28/75 × 28 = 1344/2100
  3. Likewise, for the 2nd fraction, since 84 × 25 = 2100,
    49/84 = 49 × 25/84 × 25 = 1225/2100
  4. Add the two like fractions:
    1344/2100 + 1225/2100 = 1344 + 1225/2100 = 2569/2100
  5. 2569/2100 simplified gives 367/300
  6. So, 48/75 + 49/84 = 367/300
    In mixed form: 167/300

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