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Add 21/12 and 35/45

1st number: 1 9/12, 2nd number: 35/45

21/12 + 35/45 is 91/36.

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,
    21/12 = 21 × 15/12 × 15 = 315/180
  3. Likewise, for the 2nd fraction, since 45 × 4 = 180,
    35/45 = 35 × 4/45 × 4 = 140/180
  4. Add the two like fractions:
    315/180 + 140/180 = 315 + 140/180 = 455/180
  5. 455/180 simplified gives 91/36
  6. So, 21/12 + 35/45 = 91/36
    In mixed form: 219/36

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