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Add 32/35 and 40/96

32/35 + 40/96 is 559/420.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 35 and 96 is 3360

    Next, find the equivalent fraction of both fractional numbers with denominator 3360
  2. For the 1st fraction, since 35 × 96 = 3360,
    32/35 = 32 × 96/35 × 96 = 3072/3360
  3. Likewise, for the 2nd fraction, since 96 × 35 = 3360,
    40/96 = 40 × 35/96 × 35 = 1400/3360
  4. Add the two like fractions:
    3072/3360 + 1400/3360 = 3072 + 1400/3360 = 4472/3360
  5. 4472/3360 simplified gives 559/420
  6. So, 32/35 + 40/96 = 559/420
    In mixed form: 1139/420

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