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Add 8/27 and 32/40

8/27 + 32/40 is 148/135.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 40 is 1080

    Next, find the equivalent fraction of both fractional numbers with denominator 1080
  2. For the 1st fraction, since 27 × 40 = 1080,
    8/27 = 8 × 40/27 × 40 = 320/1080
  3. Likewise, for the 2nd fraction, since 40 × 27 = 1080,
    32/40 = 32 × 27/40 × 27 = 864/1080
  4. Add the two like fractions:
    320/1080 + 864/1080 = 320 + 864/1080 = 1184/1080
  5. 1184/1080 simplified gives 148/135
  6. So, 8/27 + 32/40 = 148/135
    In mixed form: 113/135

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