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Add 2/3 and 30/32

2/3 + 30/32 is 77/48.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 3 and 32 is 96

    Next, find the equivalent fraction of both fractional numbers with denominator 96
  2. For the 1st fraction, since 3 × 32 = 96,
    2/3 = 2 × 32/3 × 32 = 64/96
  3. Likewise, for the 2nd fraction, since 32 × 3 = 96,
    30/32 = 30 × 3/32 × 3 = 90/96
  4. Add the two like fractions:
    64/96 + 90/96 = 64 + 90/96 = 154/96
  5. 154/96 simplified gives 77/48
  6. So, 2/3 + 30/32 = 77/48
    In mixed form: 129/48

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