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Add 10/64 and 40/90

10/64 + 40/90 is 173/288.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 64 and 90 is 2880

    Next, find the equivalent fraction of both fractional numbers with denominator 2880
  2. For the 1st fraction, since 64 × 45 = 2880,
    10/64 = 10 × 45/64 × 45 = 450/2880
  3. Likewise, for the 2nd fraction, since 90 × 32 = 2880,
    40/90 = 40 × 32/90 × 32 = 1280/2880
  4. Add the two like fractions:
    450/2880 + 1280/2880 = 450 + 1280/2880 = 1730/2880
  5. 1730/2880 simplified gives 173/288
  6. So, 10/64 + 40/90 = 173/288

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