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Add 40/90 and 42/64

40/90 + 42/64 is 317/288.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 2880
  2. For the 1st fraction, since 90 × 32 = 2880,
    40/90 = 40 × 32/90 × 32 = 1280/2880
  3. Likewise, for the 2nd fraction, since 64 × 45 = 2880,
    42/64 = 42 × 45/64 × 45 = 1890/2880
  4. Add the two like fractions:
    1280/2880 + 1890/2880 = 1280 + 1890/2880 = 3170/2880
  5. 3170/2880 simplified gives 317/288
  6. So, 40/90 + 42/64 = 317/288
    In mixed form: 129/288

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