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Add 30/32 and 40/90

30/32 + 40/90 is 199/144.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 32 and 90 is 1440

    Next, find the equivalent fraction of both fractional numbers with denominator 1440
  2. For the 1st fraction, since 32 × 45 = 1440,
    30/32 = 30 × 45/32 × 45 = 1350/1440
  3. Likewise, for the 2nd fraction, since 90 × 16 = 1440,
    40/90 = 40 × 16/90 × 16 = 640/1440
  4. Add the two like fractions:
    1350/1440 + 640/1440 = 1350 + 640/1440 = 1990/1440
  5. 1990/1440 simplified gives 199/144
  6. So, 30/32 + 40/90 = 199/144
    In mixed form: 155/144

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