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Add 42/75 and 21/56

42/75 + 21/56 is 187/200.

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,
    42/75 = 42 × 56/75 × 56 = 2352/4200
  3. Likewise, for the 2nd fraction, since 56 × 75 = 4200,
    21/56 = 21 × 75/56 × 75 = 1575/4200
  4. Add the two like fractions:
    2352/4200 + 1575/4200 = 2352 + 1575/4200 = 3927/4200
  5. 3927/4200 simplified gives 187/200
  6. So, 42/75 + 21/56 = 187/200

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