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Add 40/75 and 50/56

40/75 + 50/56 is 599/420.

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,
    40/75 = 40 × 56/75 × 56 = 2240/4200
  3. Likewise, for the 2nd fraction, since 56 × 75 = 4200,
    50/56 = 50 × 75/56 × 75 = 3750/4200
  4. Add the two like fractions:
    2240/4200 + 3750/4200 = 2240 + 3750/4200 = 5990/4200
  5. 5990/4200 simplified gives 599/420
  6. So, 40/75 + 50/56 = 599/420
    In mixed form: 1179/420

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