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Add 14/48 and 40/75

14/48 + 40/75 is 33/40.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 48 and 75 is 1200

    Next, find the equivalent fraction of both fractional numbers with denominator 1200
  2. For the 1st fraction, since 48 × 25 = 1200,
    14/48 = 14 × 25/48 × 25 = 350/1200
  3. Likewise, for the 2nd fraction, since 75 × 16 = 1200,
    40/75 = 40 × 16/75 × 16 = 640/1200
  4. Add the two like fractions:
    350/1200 + 640/1200 = 350 + 640/1200 = 990/1200
  5. 990/1200 simplified gives 33/40
  6. So, 14/48 + 40/75 = 33/40

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