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Add 42/75 and 3/32

42/75 + 3/32 is 523/800.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 32 is 2400

    Next, find the equivalent fraction of both fractional numbers with denominator 2400
  2. For the 1st fraction, since 75 × 32 = 2400,
    42/75 = 42 × 32/75 × 32 = 1344/2400
  3. Likewise, for the 2nd fraction, since 32 × 75 = 2400,
    3/32 = 3 × 75/32 × 75 = 225/2400
  4. Add the two like fractions:
    1344/2400 + 225/2400 = 1344 + 225/2400 = 1569/2400
  5. 1569/2400 simplified gives 523/800
  6. So, 42/75 + 3/32 = 523/800

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