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Add 75/40 and 32/27

1st number: 1 35/40, 2nd number: 1 5/27

75/40 + 32/27 is 661/216.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1080
  2. For the 1st fraction, since 40 × 27 = 1080,
    75/40 = 75 × 27/40 × 27 = 2025/1080
  3. Likewise, for the 2nd fraction, since 27 × 40 = 1080,
    32/27 = 32 × 40/27 × 40 = 1280/1080
  4. Add the two like fractions:
    2025/1080 + 1280/1080 = 2025 + 1280/1080 = 3305/1080
  5. 3305/1080 simplified gives 661/216
  6. So, 75/40 + 32/27 = 661/216
    In mixed form: 313/216

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