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Add 40/45 and 60/64

40/45 + 60/64 is 263/144.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 64 is 2880

    Next, find the equivalent fraction of both fractional numbers with denominator 2880
  2. For the 1st fraction, since 45 × 64 = 2880,
    40/45 = 40 × 64/45 × 64 = 2560/2880
  3. Likewise, for the 2nd fraction, since 64 × 45 = 2880,
    60/64 = 60 × 45/64 × 45 = 2700/2880
  4. Add the two like fractions:
    2560/2880 + 2700/2880 = 2560 + 2700/2880 = 5260/2880
  5. 5260/2880 simplified gives 263/144
  6. So, 40/45 + 60/64 = 263/144
    In mixed form: 1119/144

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