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Add 40/56 and 42/75

40/56 + 42/75 is 223/175.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 4200
  2. For the 1st fraction, since 56 × 75 = 4200,
    40/56 = 40 × 75/56 × 75 = 3000/4200
  3. Likewise, for the 2nd fraction, since 75 × 56 = 4200,
    42/75 = 42 × 56/75 × 56 = 2352/4200
  4. Add the two like fractions:
    3000/4200 + 2352/4200 = 3000 + 2352/4200 = 5352/4200
  5. 5352/4200 simplified gives 223/175
  6. So, 40/56 + 42/75 = 223/175
    In mixed form: 148/175

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