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Add 84/96 and 40/75

84/96 + 40/75 is 169/120.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 96 and 75 is 2400

    Next, find the equivalent fraction of both fractional numbers with denominator 2400
  2. For the 1st fraction, since 96 × 25 = 2400,
    84/96 = 84 × 25/96 × 25 = 2100/2400
  3. Likewise, for the 2nd fraction, since 75 × 32 = 2400,
    40/75 = 40 × 32/75 × 32 = 1280/2400
  4. Add the two like fractions:
    2100/2400 + 1280/2400 = 2100 + 1280/2400 = 3380/2400
  5. 3380/2400 simplified gives 169/120
  6. So, 84/96 + 40/75 = 169/120
    In mixed form: 149/120

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