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Add 84/12 and 40/45

1st number: 7 0/12, 2nd number: 40/45

84/12 + 40/45 is 71/9.

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,
    84/12 = 84 × 15/12 × 15 = 1260/180
  3. Likewise, for the 2nd fraction, since 45 × 4 = 180,
    40/45 = 40 × 4/45 × 4 = 160/180
  4. Add the two like fractions:
    1260/180 + 160/180 = 1260 + 160/180 = 1420/180
  5. 1420/180 simplified gives 71/9
  6. So, 84/12 + 40/45 = 71/9
    In mixed form: 78/9

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