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Add 3/12 and 40/45

3/12 + 40/45 is 41/36.

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,
    3/12 = 3 × 15/12 × 15 = 45/180
  3. Likewise, for the 2nd fraction, since 45 × 4 = 180,
    40/45 = 40 × 4/45 × 4 = 160/180
  4. Add the two like fractions:
    45/180 + 160/180 = 45 + 160/180 = 205/180
  5. 205/180 simplified gives 41/36
  6. So, 3/12 + 40/45 = 41/36
    In mixed form: 15/36

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