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Add 30/75 and 21/56

30/75 + 21/56 is 31/40.

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,
    30/75 = 30 × 56/75 × 56 = 1680/4200
  3. Likewise, for the 2nd fraction, since 56 × 75 = 4200,
    21/56 = 21 × 75/56 × 75 = 1575/4200
  4. Add the two like fractions:
    1680/4200 + 1575/4200 = 1680 + 1575/4200 = 3255/4200
  5. 3255/4200 simplified gives 31/40
  6. So, 30/75 + 21/56 = 31/40

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