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Add 30/40 and 75/32

1st number: 30/40, 2nd number: 2 11/32

30/40 + 75/32 is 99/32.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 32 is 160

    Next, find the equivalent fraction of both fractional numbers with denominator 160
  2. For the 1st fraction, since 40 × 4 = 160,
    30/40 = 30 × 4/40 × 4 = 120/160
  3. Likewise, for the 2nd fraction, since 32 × 5 = 160,
    75/32 = 75 × 5/32 × 5 = 375/160
  4. Add the two like fractions:
    120/160 + 375/160 = 120 + 375/160 = 495/160
  5. 495/160 simplified gives 99/32
  6. So, 30/40 + 75/32 = 99/32
    In mixed form: 33/32

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