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Add 12/20 and 40/45

12/20 + 40/45 is 67/45.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 20 and 45 is 180

    Next, find the equivalent fraction of both fractional numbers with denominator 180
  2. For the 1st fraction, since 20 × 9 = 180,
    12/20 = 12 × 9/20 × 9 = 108/180
  3. Likewise, for the 2nd fraction, since 45 × 4 = 180,
    40/45 = 40 × 4/45 × 4 = 160/180
  4. Add the two like fractions:
    108/180 + 160/180 = 108 + 160/180 = 268/180
  5. 268/180 simplified gives 67/45
  6. So, 12/20 + 40/45 = 67/45
    In mixed form: 122/45

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