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Add 30/56 and 40/75

30/56 + 40/75 is 449/420.

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,
    30/56 = 30 × 75/56 × 75 = 2250/4200
  3. Likewise, for the 2nd fraction, since 75 × 56 = 4200,
    40/75 = 40 × 56/75 × 56 = 2240/4200
  4. Add the two like fractions:
    2250/4200 + 2240/4200 = 2250 + 2240/4200 = 4490/4200
  5. 4490/4200 simplified gives 449/420
  6. So, 30/56 + 40/75 = 449/420
    In mixed form: 129/420

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