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Add 75/96 and 27/40

75/96 + 27/40 is 233/160.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 96 and 40 is 480

    Next, find the equivalent fraction of both fractional numbers with denominator 480
  2. For the 1st fraction, since 96 × 5 = 480,
    75/96 = 75 × 5/96 × 5 = 375/480
  3. Likewise, for the 2nd fraction, since 40 × 12 = 480,
    27/40 = 27 × 12/40 × 12 = 324/480
  4. Add the two like fractions:
    375/480 + 324/480 = 375 + 324/480 = 699/480
  5. 699/480 simplified gives 233/160
  6. So, 75/96 + 27/40 = 233/160
    In mixed form: 173/160

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