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Add 10/45 and 30/32

10/45 + 30/32 is 167/144.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 32 is 1440

    Next, find the equivalent fraction of both fractional numbers with denominator 1440
  2. For the 1st fraction, since 45 × 32 = 1440,
    10/45 = 10 × 32/45 × 32 = 320/1440
  3. Likewise, for the 2nd fraction, since 32 × 45 = 1440,
    30/32 = 30 × 45/32 × 45 = 1350/1440
  4. Add the two like fractions:
    320/1440 + 1350/1440 = 320 + 1350/1440 = 1670/1440
  5. 1670/1440 simplified gives 167/144
  6. So, 10/45 + 30/32 = 167/144
    In mixed form: 123/144

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