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Add 6/56 and 40/75

6/56 + 40/75 is 269/420.

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,
    6/56 = 6 × 75/56 × 75 = 450/4200
  3. Likewise, for the 2nd fraction, since 75 × 56 = 4200,
    40/75 = 40 × 56/75 × 56 = 2240/4200
  4. Add the two like fractions:
    450/4200 + 2240/4200 = 450 + 2240/4200 = 2690/4200
  5. 2690/4200 simplified gives 269/420
  6. So, 6/56 + 40/75 = 269/420

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