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Add 36/45 and 8/12

36/45 + 8/12 is 22/15.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 12 is 180

    Next, find the equivalent fraction of both fractional numbers with denominator 180
  2. For the 1st fraction, since 45 × 4 = 180,
    36/45 = 36 × 4/45 × 4 = 144/180
  3. Likewise, for the 2nd fraction, since 12 × 15 = 180,
    8/12 = 8 × 15/12 × 15 = 120/180
  4. Add the two like fractions:
    144/180 + 120/180 = 144 + 120/180 = 264/180
  5. 264/180 simplified gives 22/15
  6. So, 36/45 + 8/12 = 22/15
    In mixed form: 17/15

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