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Add 10/45 and 42/64

10/45 + 42/64 is 253/288.

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,
    10/45 = 10 × 64/45 × 64 = 640/2880
  3. Likewise, for the 2nd fraction, since 64 × 45 = 2880,
    42/64 = 42 × 45/64 × 45 = 1890/2880
  4. Add the two like fractions:
    640/2880 + 1890/2880 = 640 + 1890/2880 = 2530/2880
  5. 2530/2880 simplified gives 253/288
  6. So, 10/45 + 42/64 = 253/288

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