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Add 42/64 and 40/75

42/64 + 40/75 is 571/480.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 64 and 75 is 4800

    Next, find the equivalent fraction of both fractional numbers with denominator 4800
  2. For the 1st fraction, since 64 × 75 = 4800,
    42/64 = 42 × 75/64 × 75 = 3150/4800
  3. Likewise, for the 2nd fraction, since 75 × 64 = 4800,
    40/75 = 40 × 64/75 × 64 = 2560/4800
  4. Add the two like fractions:
    3150/4800 + 2560/4800 = 3150 + 2560/4800 = 5710/4800
  5. 5710/4800 simplified gives 571/480
  6. So, 42/64 + 40/75 = 571/480
    In mixed form: 191/480

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