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Add 40/45 and 21/12

1st number: 40/45, 2nd number: 1 9/12

40/45 + 21/12 is 95/36.

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,
    40/45 = 40 × 4/45 × 4 = 160/180
  3. Likewise, for the 2nd fraction, since 12 × 15 = 180,
    21/12 = 21 × 15/12 × 15 = 315/180
  4. Add the two like fractions:
    160/180 + 315/180 = 160 + 315/180 = 475/180
  5. 475/180 simplified gives 95/36
  6. So, 40/45 + 21/12 = 95/36
    In mixed form: 223/36

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