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Add 30/75 and 9/32

30/75 + 9/32 is 109/160.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 32 is 2400

    Next, find the equivalent fraction of both fractional numbers with denominator 2400
  2. For the 1st fraction, since 75 × 32 = 2400,
    30/75 = 30 × 32/75 × 32 = 960/2400
  3. Likewise, for the 2nd fraction, since 32 × 75 = 2400,
    9/32 = 9 × 75/32 × 75 = 675/2400
  4. Add the two like fractions:
    960/2400 + 675/2400 = 960 + 675/2400 = 1635/2400
  5. 1635/2400 simplified gives 109/160
  6. So, 30/75 + 9/32 = 109/160

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