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Add 40/75 and 7/16

40/75 + 7/16 is 233/240.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 16 is 1200

    Next, find the equivalent fraction of both fractional numbers with denominator 1200
  2. For the 1st fraction, since 75 × 16 = 1200,
    40/75 = 40 × 16/75 × 16 = 640/1200
  3. Likewise, for the 2nd fraction, since 16 × 75 = 1200,
    7/16 = 7 × 75/16 × 75 = 525/1200
  4. Add the two like fractions:
    640/1200 + 525/1200 = 640 + 525/1200 = 1165/1200
  5. 1165/1200 simplified gives 233/240
  6. So, 40/75 + 7/16 = 233/240

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