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Add 5/75 and 30/56

5/75 + 30/56 is 253/420.

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,
    5/75 = 5 × 56/75 × 56 = 280/4200
  3. Likewise, for the 2nd fraction, since 56 × 75 = 4200,
    30/56 = 30 × 75/56 × 75 = 2250/4200
  4. Add the two like fractions:
    280/4200 + 2250/4200 = 280 + 2250/4200 = 2530/4200
  5. 2530/4200 simplified gives 253/420
  6. So, 5/75 + 30/56 = 253/420

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