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Add 40/64 and 42/45

40/64 + 42/45 is 187/120.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 2880
  2. For the 1st fraction, since 64 × 45 = 2880,
    40/64 = 40 × 45/64 × 45 = 1800/2880
  3. Likewise, for the 2nd fraction, since 45 × 64 = 2880,
    42/45 = 42 × 64/45 × 64 = 2688/2880
  4. Add the two like fractions:
    1800/2880 + 2688/2880 = 1800 + 2688/2880 = 4488/2880
  5. 4488/2880 simplified gives 187/120
  6. So, 40/64 + 42/45 = 187/120
    In mixed form: 167/120

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