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Add 28/75 and 42/56

28/75 + 42/56 is 337/300.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 56 is 4200

    Next, find the equivalent fraction of both fractional numbers with denominator 4200
  2. For the 1st fraction, since 75 × 56 = 4200,
    28/75 = 28 × 56/75 × 56 = 1568/4200
  3. Likewise, for the 2nd fraction, since 56 × 75 = 4200,
    42/56 = 42 × 75/56 × 75 = 3150/4200
  4. Add the two like fractions:
    1568/4200 + 3150/4200 = 1568 + 3150/4200 = 4718/4200
  5. 4718/4200 simplified gives 337/300
  6. So, 28/75 + 42/56 = 337/300
    In mixed form: 137/300

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