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Add 36/45 and 30/96

36/45 + 30/96 is 89/80.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 96 is 1440

    Next, find the equivalent fraction of both fractional numbers with denominator 1440
  2. For the 1st fraction, since 45 × 32 = 1440,
    36/45 = 36 × 32/45 × 32 = 1152/1440
  3. Likewise, for the 2nd fraction, since 96 × 15 = 1440,
    30/96 = 30 × 15/96 × 15 = 450/1440
  4. Add the two like fractions:
    1152/1440 + 450/1440 = 1152 + 450/1440 = 1602/1440
  5. 1602/1440 simplified gives 89/80
  6. So, 36/45 + 30/96 = 89/80
    In mixed form: 19/80

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