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Add 16/75 and 40/72

16/75 + 40/72 is 173/225.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 72 is 1800

    Next, find the equivalent fraction of both fractional numbers with denominator 1800
  2. For the 1st fraction, since 75 × 24 = 1800,
    16/75 = 16 × 24/75 × 24 = 384/1800
  3. Likewise, for the 2nd fraction, since 72 × 25 = 1800,
    40/72 = 40 × 25/72 × 25 = 1000/1800
  4. Add the two like fractions:
    384/1800 + 1000/1800 = 384 + 1000/1800 = 1384/1800
  5. 1384/1800 simplified gives 173/225
  6. So, 16/75 + 40/72 = 173/225

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