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Add 9/12 and 20/45

9/12 + 20/45 is 43/36.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 180
  2. For the 1st fraction, since 12 × 15 = 180,
    9/12 = 9 × 15/12 × 15 = 135/180
  3. Likewise, for the 2nd fraction, since 45 × 4 = 180,
    20/45 = 20 × 4/45 × 4 = 80/180
  4. Add the two like fractions:
    135/180 + 80/180 = 135 + 80/180 = 215/180
  5. 215/180 simplified gives 43/36
  6. So, 9/12 + 20/45 = 43/36
    In mixed form: 17/36

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